{VERSION 3 0 "SUN SPARC SOLARIS" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 3 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "" 2 6 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 "" 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "Error" 7 8 1 {CSTYLE "" -1 -1 "" 0 1 255 0 255 1 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {SECT 1 {PARA 3 "" 0 "" {TEXT -1 77 "Reading 'procael4maple' a nd simplifying the equations. Producing 'Eqs'-buffer" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 460 "restart:with(plots):\n\nread \"/home/mt/ usr/reduce/procael4maple\";\n\nfor i from 0 to 3 do proca.i:=simplify( 0=eqs[ 2+i]): print(Proca.i,proca.i); od:\nfor i from 0 to 3 do for j \+ from i to 3 do einstein.i.j:=simplify(0=eqs[ 7+4*i+j]): print(Einstein .i.j,einstein.i.j);od: od:\nfor i from 0 to 3 do bianchi.i:=simplify(0 =eqs[ 24+i]): print(Bianchi.i,bianchi.i); od:\n\ne1:=proca.0;\ne2:=ein stein.0.0;\ne3:=einstein.1.1;\ne4:=einstein.2.2;\ne5:=einstein.3.3;\ne 6:=bianchi.1;\n\n" }{TEXT -1 0 "" }{MPLTEXT 1 0 887 "\"e5 ist redundan t:\";\nsimplify(e4 - e5);\n\n\"e6 ist redundant:\";\nsimplify(e1 + e6* r**2*g/(u1*r-u));\n\n\"e3 kann ersetzt werden:\";\nt1:=simplify(e2 + e 3);\n\n\"Obukov's gleichungen: fuer kappa=-1\";\n\"(3.4)\", expand(-e1 *r/f*g**2);\n\"(3.7)\", expand(2*e2*r**2*g**2);\n\"(3.8)\", t1*r**2*g* *3*f**2;\n\nee1:=e1*r**2*g**3*f;\nee2:=e2*r**4*g**3*f**2;\nee3:=t1*r** 2*g**3*f**2;\n\nsubst:=[\nu2=diff(u(r),r,r),u1=diff(u(r),r),u=u(r),\nf 2=diff(f(r),r,r),f1=diff(f(r),r),f=f(r),\ng2=diff(g(r),r,r),g1=diff(g( r),r),g=g(r)\n]:\n\ne1:=simplify(subs(subst,ee1));\ne2:=simplify(subs( subst,ee2));\ne3:=simplify(subs(subst,ee3));\n\nsubst:=[f(r)=h(r)/r]: \ne1:=simplify(subs(subst,e1)*r**2):\ne2:=simplify(subs(subst,e2)*r**2 ):\ne3:=simplify(subs(subst,e3)*r**3):\ne1;e2;e3;\n\n#energy-momentum: \ne4:=simplify(diff(s(r),r)=-4*Pi*r**2*g(r)*u(r)**2/h(r)**2);\ne5:=sim plify(diff(t(r),r)=2*u(r)*diff(u(r),r)/h(r)**2 - 2*u(r)**2/h(r)**3*dif f(h(r),r));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$eqsG7>%)procaeq:G*&, ***)%\"fG\"\"#\"\"\"%\"gG\"\"\"%\"rGF/%#u2GF/F/**F*F-%#g1GF/F0F-%#u1GF /!\"\"*(F*F-F3F-%\"uGF/F/**)F.\"\"$F-)%\"mGF,F-F0F-F7F-F5F-*(F+\"\"\") F.\"\"$F-)F0\"\"#F-!\"\"\"\"!FDFD%,einsteineq:G,$*&,2*()F+\"\"%F-F.F-) F0F,F-F,*(FJF-F3F-)F0F:F-!\"%**)F+F:F-%#f1GF/F.F-FNF-FK*(F*F-F9F-FLF-! \"#*,F*F-F.F-%&kappaGF/FLF-)F4F,F-F5*.F*F-F.F-FVF-F0F-F7F-F4F-F,**F*F- F.F-FVF-)F7F,F-F5*,F9F-FVF-F;F-FLF-FZF-F5F-*()F+\"\"#F-)F.\"\"$F-)F0\" \"%F-FC#F/F,FDFDFDFD,$*&,0*&FJF-FLF-FT*(FQF-FRF-FNF-FO*(F*F-)F.F,F-FLF -F,**F*F-FVF-FLF-FWF-F/*,F*F-FVF-F0F-F7F-F4F-FT*(F*F-FVF-FZF-F/*,FdoF- FVF-F;F-FLF-FZF-F5F-*()F+\"\"#F-)F.\"\"#F-)F0\"\"%F-FCF]oFDFDFDFD,$*&, 4FMF,FPFO**FQF-FRF-F3F-)F0FKF-F,**FQF-%#f2GF/F.F-FdpF-FT**F*F-)FRF,F-F .F-FdpF-FTFUF5FXF,FYF5FenF5F-*()F+\"\"#F-)F.\"\"$F-)F0\"\"%F-FCF]oFDFD FDFDF`p%+bianchieq:GFD*&,0*,F*F-F.F-FLF-F4F-F1F-F5*,F*F-F.F-F0F-F7F-F1 F-F/**F*F-F3F-FLF-FWF-F/*,F*F-F3F-F0F-F7F-F4F-FT*(F*F-F3F-FZF-F/*,F9F- F;F-FLF-F7F-F4F-F/**F9F-F;F-F0F-FZF-F5F-*(F+\"\"\")F.\"\"%F-)F0\"\"%F- FCFDFD%%nullG" }}{PARA 8 "" 1 "" {TEXT -1 35 "on line 41, unexpected e nd of input" }}{PARA 8 "" 1 "" {TEXT -1 56 "Error, while reading `/hom e/mt/usr/reduce/procael4maple`" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%'Pr oca0G/\"\"!,$*&,***)%\"fG\"\"#\"\"\"%\"gG\"\"\"%\"rGF/%#u2GF/!\"\"**F* F-%#g1GF/F0F-%#u1GF/F/*(F*F-F4F-%\"uGF/F2**)F.\"\"$F-)%\"mGF,F-F0F-F7F -F/F-*(F+\"\"\")F.\"\"$F-)F0\"\"#F-!\"\"F2" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%'Proca1G/\"\"!F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%' Proca2G/\"\"!F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%'Proca3G/\"\"!F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%+Einstein00G/\"\"!,$*&,2*()%\"fG\" \"%\"\"\"%\"gG\"\"\")%\"rG\"\"#F-!\"#*(F*F-%#g1GF/)F1\"\"$F-F,**)F+F7F -%#f1GF/F.F-F6F-!\"%*()F+F2F-)F.F7F-F0F-F2*,F=F-F.F-%&kappaGF/F0F-)%#u 1GF2F-F/*.F=F-F.F-F@F-F1F/%\"uGF/FBF/F3**F=F-F.F-F@F-)FDF2F-F/*,F>F-F@ F-)%\"mGF2F-F0F-FFF-F/F-*()F+\"\"#F-)F.\"\"$F-)F1\"\"%F-!\"\"#!\"\"F2 " }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%+Einstein01G/\"\"!F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%+Einstein02G/\"\"!F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%+Einstein03G/\"\"!F%" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6$%+Einstein11G/\"\"!,$*&,0*&)%\"fG\"\"%\"\"\")%\"rG\"\"#F-F0*()F+\"\" $F-%#f1G\"\"\")F/F3F-F,*()F+F0F-)%\"gGF0F-F.F-!\"#**F8F-%&kappaGF5F.F- )%#u1GF0F-!\"\"*,F8F-F=F-F/F5%\"uGF5F?F5F0*(F8F-F=F-)FBF0F-F@*,F9F-F=F -)%\"mGF0F-F.F-FDF-F5F-*()F+\"\"#F-)F:\"\"#F-)F/\"\"%F-!\"\"#F@F0" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$%+Einstein12G/\"\"!F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%+Einstein13G/\"\"!F%" }}{PARA 12 "" 1 "" {XPPMATH 20 "6$%+Einstein22G/\"\"!,$*&,4*()%\"fG\"\"%\"\"\"%#g1G\"\"\" )%\"rG\"\"$F-!\"#**)F+F2F-%#f1GF/%\"gGF/F0F-F,**F5F-F6F-F.F-)F1F,F-F3* *F5F-%#f2GF/F7F-F9F-\"\"#**)F+FF-F7F-%&kappaGF /)F1FF-F7F-FAF-F1F/%\"uGF/FDF/F3**F>F-F7F-FAF-)FFF< F-F/*,)F7F2F-FAF-)%\"mGFF-F7F-%&kappaGF/)F1FF-F7F-FAF-F1F/%\"uGF/FDF /F3**F>F-F7F-FAF-)FFFF,F@ F,F0F,F%#e1G/\"\"!,$* &,***)%\"fG\"\"#\"\"\"%\"gG\"\"\"%\"rGF0%#u2GF0!\"\"**F+F.%#g1GF0F1F.% #u1GF0F0*(F+F.F5F.%\"uGF0F3**)F/\"\"$F.)%\"mGF-F.F1F.F8F.F0F.*(F,\"\" \")F/\"\"$F.)F1\"\"#F.!\"\"F3" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e2 G/\"\"!,$*&,2*()%\"fG\"\"%\"\"\"%\"gG\"\"\")%\"rG\"\"#F.!\"#*(F+F.%#g1 GF0)F2\"\"$F.F-**)F,F8F.%#f1GF0F/F.F7F.!\"%*()F,F3F.)F/F8F.F1F.F3*,F>F .F/F.%&kappaGF0F1F.)%#u1GF3F.F0*.F>F.F/F.FAF.F2F0%\"uGF0FCF0F4**F>F.F/ F.FAF.)FEF3F.F0*,F?F.FAF.)%\"mGF3F.F1F.FGF.F0F.*()F,\"\"#F.)F/\"\"$F.) F2\"\"%F.!\"\"#!\"\"F3" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e3G/\"\"! ,$*&,0*&)%\"fG\"\"%\"\"\")%\"rG\"\"#F.F1*()F,\"\"$F.%#f1G\"\"\")F0F4F. F-*()F,F1F.)%\"gGF1F.F/F.!\"#**F9F.%&kappaGF6F/F.)%#u1GF1F.!\"\"*,F9F. F>F.F0F6%\"uGF6F@F6F1*(F9F.F>F.)FCF1F.FA*,F:F.F>F.)%\"mGF1F.F/F.FEF.F6 F.*()F,\"\"#F.)F;\"\"#F.)F0\"\"%F.!\"\"#FAF1" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#e4G/\"\"!,$*&,4*()%\"fG\"\"%\"\"\"%#g1G\"\"\")%\"rG \"\"$F.!\"#**)F,F3F.%#f1GF0%\"gGF0F1F.F-**F6F.F7F.F/F.)F2F-F.F4**F6F.% #f2GF0F8F.F:F.\"\"#**)F,F=F.)F7F=F.F8F.F:F.F=*,F?F.F8F.%&kappaGF0)F2F= F.)%#u1GF=F.F0*.F?F.F8F.FBF.F2F0%\"uGF0FEF0F4**F?F.F8F.FBF.)FGF=F.F0*, )F8F3F.FBF.)%\"mGF=F.FCF.FIF.F0F.*()F,\"\"#F.)F8\"\"$F.)F2\"\"%F.!\"\" #!\"\"F=" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#e5G/\"\"!,$*&,4*()%\"fG \"\"%\"\"\"%#g1G\"\"\")%\"rG\"\"$F.!\"#**)F,F3F.%#f1GF0%\"gGF0F1F.F-** F6F.F7F.F/F.)F2F-F.F4**F6F.%#f2GF0F8F.F:F.\"\"#**)F,F=F.)F7F=F.F8F.F:F .F=*,F?F.F8F.%&kappaGF0)F2F=F.)%#u1GF=F.F0*.F?F.F8F.FBF.F2F0%\"uGF0FEF 0F4**F?F.F8F.FBF.)FGF=F.F0*,)F8F3F.FBF.)%\"mGF=F.FCF.FIF.F0F.*()F,\"\" #F.)F8\"\"$F.)F2\"\"%F.!\"\"#!\"\"F=" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%#e6G/\"\"!*&,0*,)%\"fG\"\"#\"\"\"%\"gG\"\"\")%\"rGF,F-%#u1GF/%#u2G F/!\"\"*,F*F-F.F-F1F/%\"uGF/F3F-F/**F*F-%#g1GF/F0F-)F2F,F-F/*,F*F-F8F- F1F-F6F-F2F-!\"#*(F*F-F8F-)F6F,F-F/*,)F.\"\"$F-)%\"mGF,F-F0F-F6F-F2F-F /**F?F-FAF-F1F-F=F-F4F-*(F+\"\"\")F.\"\"%F-)F1\"\"%F-!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#Q2e5~ist~redundant:6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/\"\"!F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#Q2e6~ist~re dundant:6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/\"\"!F$" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#Q8e3~kann~ersetzt~werden:6\"" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%#t1G/\"\"!,$*&,&*()%\"fG\"\"%\"\"\"%#g1G\"\"\"%\"rG F0\"\"#**)%\"gG\"\"$F.%&kappaGF0)%\"mGF2F.)%\"uGF2F.F0F.*()F1\"\"#F.)F ,\"\"#F.)F5\"\"$F.!\"\"!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#QDObuk ov's~gleichungen:~fuer~kappa=-16\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$ Q&(3.4)6\"/\"\"!,*%#u2G!\"\"*&*&%#g1G\"\"\"%#u1GF-\"\"\"%\"gG!\"\"F-*& *&F,F/%\"uGF-F/*&%\"rG\"\"\"F0\"\"\"F1F)*&*()F0\"\"#F/)%\"mGFF0F,F/F3F+*&*&F%$ ee1G/\"\"!,***)%\"fG\"\"#\"\"\"%\"gG\"\"\"%\"rGF.%#u2GF.F.**F)F,%#g1GF .F/F,%#u1GF.!\"\"*(F)F,F2F,%\"uGF.F.**)F-\"\"$F,)%\"mGF+F,F/F,F6F,F4" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$ee2G/\"\"!,2*()%\"fG\"\"%\"\"\"% \"gG\"\"\")%\"rG\"\"#F,F.*(F)F,%#g1GF.)F0\"\"$F,!\"#**)F*F5F,%#f1GF.F- F,F4F,F1*()F*F1F,)F-F5F,F/F,!\"\"*,F;F,F-F,%&kappaGF.F/F,)%#u1GF1F,#F= F1*.F;F,F-F,F?F,F0F.%\"uGF.FAF.F.**F;F,F-F,F?F,)FDF1F,FB*,F%$ee3G/\"\"!,&*() %\"fG\"\"%\"\"\"%#g1G\"\"\"%\"rGF.!\"#**)%\"gG\"\"$F,%&kappaGF.)%\"mG \"\"#F,)%\"uGF8F,!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e1G/\"\"! ,***)-%\"fG6#%\"rG\"\"#\"\"\"-%\"gGF,\"\"\"F-F2-%%diffG6$-%\"uGF,-%\"$ G6$F-F.F2F2**F)F/-F46$F0F-F2F-F/-F46$F6F-F2!\"\"*(F)F/F%#e2G/ \"\"!,2*()-%\"fG6#%\"rG\"\"%\"\"\"-%\"gGF,\"\"\")F-\"\"#F/F2*(F)F/-%%d iffG6$F0F-F2)F-\"\"$F/!\"#**)F*F:F/-F76$F*F-F2F0F/F9F/F4*()F*F4F/)F0F: F/F3F/!\"\"*,FAF/F0F/%&kappaGF2F3F/)-F76$-%\"uGF,F-F4F/#FCF4*.FAF/F0F/ FEF/F-F2FIF2FGF2F2**FAF/F0F/FEF/)FIF4F/FK*,FBF/FEF/)%\"mGF4F/F3F/FNF/F K" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e3G/\"\"!,&*()-%\"fG6#%\"rG\" \"%\"\"\"-%%diffG6$-%\"gGF,F-\"\"\"F-F5!\"#**)F3\"\"$F/%&kappaGF5)%\"m G\"\"#F/)-%\"uGF,F=F/!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/\"\"!,* **)-%\"hG6#%\"rG\"\"#\"\"\"-%\"gGF*\"\"\"-%%diffG6$-%\"uGF*-%\"$G6$F+F ,F0F+F0F0**F'F--F26$F.F+F0-F26$F4F+F0F+F-!\"\"*(F'F-F:F-F4F0F0**)F.\" \"$F-)%\"mGF,F-)F+FBF-F4F-F>" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#/\"\"! ,2*&)-%\"hG6#%\"rG\"\"%\"\"\"-%\"gGF*\"\"\"!\"\"*(F'F--%%diffG6$F.F+F0 F+F0!\"#**)F(\"\"$F-F.F--F46$F(F+F0F+F-\"\"#*()F(FF-F.F-%&kappaGF0)-F46$-%\"uGF*F+FF-F.F-FBF-FFF0FDF0 F+F-F0**F>F-F.F-FBF-)FFF%#e4G/-%%diffG6$ -%\"sG6#%\"rGF,,$*&**%#PiG\"\"\")F,\"\"#\"\"\"-%\"gGF+F1)-%\"uGF+F3F4F 4*$)-%\"hGF+\"\"#F4!\"\"!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e5G /-%%diffG6$-%\"tG6#%\"rGF,,$*&*&-%\"uGF+\"\"\",&*&-F'6$F0F,\"\"\"-%\"h GF+F7F7*&F0F7-F'6$F8F,F7!\"\"F7F2*$)F8\"\"$F2!\"\"\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "eqs:=[e1,e2,e3];\n" }{TEXT -1 0 "" }{MPLTEXT 1 0 47 "save eqs,\"/home/mt/usr/proca/MapleBuffers/Eqs\";" } }{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$eqsG7%/\"\"!,***)-%\"hG6#%\"rG\"\" #\"\"\"-%\"gGF-\"\"\"-%%diffG6$-%\"uGF--%\"$G6$F.F/F3F.F3F3**F*F0-F56$ F1F.F3-F56$F7F.F3F.F0!\"\"*(F*F0F=F0F7F3F3**)F1\"\"$F0)%\"mGF/F0)F.FEF 0F7F0FA/F',2*&)F+\"\"%F0F1F0FA*(FLF0F=F0F.F0!\"#**)F+FEF0F1F0-F56$F+F. F3F.F0F/*(F*F0FDF0)F.F/F0FA*,F*F0F1F0%&kappaGF3)F?F/F0FUF0#FAF/*.F*F0F 1F0FWF0F7F0F?F0F.F0F3**F*F0F1F0FWF0)F7F/F0FY*,FDF0FWF0FFF0)F.FMF0FfnF0 FY/F',&*&FLF0F=F0FO*,FDF0FWF0FFF0FfnF0FHF0FA" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 50 "Reading the simplified equations from 'Eqs'-buffer" }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 98 "restart:with(plots):\nread \"/home/mt/usr/proca/Map leBuffers/Eqs\";\ne1:=eqs[1];e2:=eqs[2];e3:=eqs[3];" }}{PARA 12 "" 1 " " {XPPMATH 20 "6#>%$eqsG7%/\"\"!,***)-%\"hG6#%\"rG\"\"#\"\"\"-%\"gGF- \"\"\"-%%diffG6$-%\"uGF--%\"$G6$F.F/F3F.F3F3**F*F0-F56$F1F.F3-F56$F7F. F3F.F0!\"\"*(F*F0F=F0F7F3F3**)F1\"\"$F0)%\"mGF/F0)F.FEF0F7F0FA/F',2*&) F+\"\"%F0F1F0FA*(FLF0F=F0F.F0!\"#**)F+FEF0F1F0-F56$F+F.F3F.F0F/*(F*F0F DF0)F.F/F0FA*,F*F0F1F0%&kappaGF3)F?F/F0FUF0#FAF/*.F*F0F1F0FWF0F7F0F?F0 F.F0F3**F*F0F1F0FWF0)F7F/F0FY*,FDF0FWF0FFF0)F.FMF0FfnF0FY/F',&*&FLF0F= F0FO*,FDF0FWF0FFF0FfnF0FHF0FA" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e1 G/\"\"!,***)-%\"hG6#%\"rG\"\"#\"\"\"-%\"gGF,\"\"\"-%%diffG6$-%\"uGF,-% \"$G6$F-F.F2F-F2F2**F)F/-F46$F0F-F2-F46$F6F-F2F-F/!\"\"*(F)F/F%#e2G/\"\"!,2*&)-%\"hG6#%\"rG\"\"%\"\"\"-%\"gGF,\"\"\"!\"\"*(F)F/-% %diffG6$F0F-F2F-F2!\"#**)F*\"\"$F/F0F/-F66$F*F-F2F-F/\"\"#*()F*F>F/)F0 F;F/)F-F>F/F3*,F@F/F0F/%&kappaGF2)-F66$-%\"uGF,F-F>F/FBF/#F3F>*.F@F/F0 F/FDF/FHF2FFF2F-F/F2**F@F/F0F/FDF/)FHF>F/FJ*,FAF/FDF/)%\"mGF>F/)F-F.F/ FMF/FJ" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e3G/\"\"!,&*&)-%\"hG6#%\" rG\"\"%\"\"\"-%%diffG6$-%\"gGF,F-\"\"\"!\"#*,)F3\"\"$F/%&kappaGF5)%\"m G\"\"#F/)-%\"uGF,F=F/)F-F9F/!\"\"" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 22 "Power series expansion" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 147 "hS:=sum('h.i* r**i','i'=0..10):\ngS:=sum('g.i*r**i','i'=0..10):\nuS:=sum('u.i*r**i', 'i'=0..10):\ntmp:=subs([m=1,kappa=-1,h(r)=hS,g(r)=gS,u(r)=uS],eqs):" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 279 "[seq(simplify(coeff(rhs(t mp[i]),r,0)),i=1..3)];\ng1:=0;h0:=u0/sqrt(2);\n[seq(simplify(coeff(rhs (tmp[i]),r,0)),i=1..3)];\n[seq(simplify(coeff(rhs(tmp[i]),r,1)),i=1..3 )];\ng.2:=0;u.2:=0;\n[seq(simplify(coeff(rhs(tmp[i]),r,1)),i=1..3)];\n t:=[seq(simplify(coeff(rhs(tmp[i]),r,2)),i=1..3)];" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#7%*()%#h0G\"\"#\"\"\"%#g1G\"\"\"%#u0GF*,&*&)F&\"\"%F( %#g0GF*!\"\"*(F%F(F0F()F+F'F(#F*F',$*&F.F(F)F(!\"#" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%#g1G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#h0G ,$*&%#u0G\"\"\"-%%sqrtG6#\"\"#\"\"\"#F(F," }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7%\"\"!F$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7%,&*()% #u0G\"\"#\"\"\"%#g0G\"\"\"%#u2GF+F+*&)F'\"\"$F)%#g2GF+F+\"\"!,$*&)F'\" \"%F)F0F)!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#g2G\"\"!" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#u2G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7%\"\"!F$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"tG7% ,&*()%#u0G\"\"#\"\"\"%#g0G\"\"\"%#u3GF-\"\"$*&)F)F/F+%#g3GF-#F/F*,(*(F (F+)%#h1GF*F+F,F+#F-F***F1F+-%%sqrtG6#F*F+F,F+%#h2GF-F8*&)F,F/F+F(F+#! \"\"F*,$*&)F)\"\"%F+F2F+#!\"$F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 217 "for k from 2 to 9 do\n g.(k+1):=solve(t[3],g.(k+1));\n u.(k +1):=solve(t[1],u.(k+1));\n h.k:=solve(t[2],h.k);\n [seq(simplify(co eff(rhs(tmp[i]),r,k)),i=1..3)]:\n t:=[seq(simplify(coeff(rhs(tmp[i]), r,k+1)),i=1..3)]:\nod:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "uS ;gS;hS;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,2%#u0G\"\"\"*&%#u1GF%%\"rG F%F%*&*()%#g0G\"\"#\"\"\",&*&-%%sqrtG6#F-F.%#h1GF%F-F'!\"\"F%)F(\"\"&F .F.*$)F$\"\"#F.!\"\"#F%\"#5*&*(F+F.,**$)F4F-F.!#;*(F1F.F4F.F'F.\"\"'*$ )F'F-F.F5*$F+F.F-F%)F(FEF.F.*$)F$\"\"$F.F;#F%\"#:*&*(F+F.,,*&)F4\"\"$F .F1F.\"#C*&FBF.F'F.!#?*(F+F.F1F.F4F.!\")*&F+F.F'F.FT*(F1F.F4F.FGF.F-F% )F(\"\"(F.F.*$)F$\"\"%F.F;#F-\"#@*&*(F+F.,2*&FBF.F+F.!$;#**F+F.F1F.F4F .F'F.\"#g*$)F,\"\"%F.\"#7*$)F4FfoF.\"$%Q*(FSF.F1F.F'F.!$o\"*&FBF.FGF. \"#O*&)F$F-F.F+F.F5*&F+F.FGF.!\"'F%)F(\"\")F.F.*$)F$\"\"&F.F;#F5\"#U*& *(F+F.,6*&FioF.F'F.!%cM**F1F.F4F.F+F.F`pF.FW*(F+F.FBF.F'F.\"%;?*&FeoF. F'F.!$?\"*(F`pF.F+F.F'F.\"\"**(F1F.F4F.FeoF.\"$K%*(F1F.FSF.F+F.!%sI*&F 1F.)F4F7F.\"%SQ**F+F.F1F.F4F.FGF.!$W\"*(FSF.F1F.FGF.FjoF%)F(FeqF.F.*$) F$\"\"'F.F;#F%\"$;#*&*(F+F.,>*(FBF.F`pF.F+F.\"#\")*(F`pF.F+F.FGF.F-*$) F4FEF.!&?:\"*$)F,FEF.\"#!**&FeoF.F`pF.!#6*&FioF.F+F.\"&+?\"*&FBF.FeoF. !%!)G*(F+F.FBF.FGF.\"$?(*,F1F.F4F.F`pF.F+F.F'F.!#B*&FeoF.FGF.!#X*&FioF .FGF.!%+7*(F[rF.F1F.F'F.\"%!G&**F+F.FSF.F1F.F'F.!%?V**FeoF.F1F.F4F.F'F .\"$I'F%)F(F=F.F.*$)F$\"\"(F.F;#Ffo\"$v'" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,2%#g0G\"\"\"*&*&)F$\"\"$\"\"\")%\"rG\"\"%F*F**$)%#u0G\"\"#F*!\" \"#F%\"\"#*&*(F(F*,&*&-%%sqrtG6#F4F*%#h1GF%F4%#u1G!\"\"F%)F,\"\"&F*F** $)F0\"\"$F*F2#!\"%F@*&*(F(F*,**$)F=F4F*F>*$)FF)*&*(F(F*,,*(FQF*F9F*F*&)F0F4F*FQF*F%**FQF*F9F*F*(FLF*FbpF*FQF*!$w$*(FQF*FLF*FJF*F`r*&F_pF*FJF*! %+'**(F_rF*F9F*F=F*\"&!3Y**FgpF*F9F*F\"$]\"" }}{PARA 12 "" 1 "" {XPPMATH 20 "6 #,8*&%#u0G\"\"\"-%%sqrtG6#\"\"#\"\"\"#F&F**&%#h1GF&%\"rGF&F&*&*(,&*$)F .F*F+F&*$)%#g0GF*F+!\"\"F&F'F+)F/F*F+F+F%!\"\"#F8F**&*(F2F+F.F+)F/\"\" $F+F+*$)F%\"\"#F+F:F&*&*(,**&)F%F*F+F6F+!\"#*$)F.\"\"%F+\"#:*&F4F+F6F+ !#=*$)F7FKF+F?F&F'F+)F/FKF+F+*$)F%\"\"$F+F:#F8\"#7*&*(,,**F'F+F.F+F6F+ FGF+!#>*(F'F+F.F+FPF+\"#X*(FGF+F6F+%#u1GF&FV*&F'F+)F.\"\"&F+\"$0\"*(F' F+)F.F?F+F6F+!$]\"F&F'F+)F/F\\oF+F+*$)F%\"\"%F+F:#F&\"#g*&*(,2*&FPF+FG F+FV*$)F.\"\"'F+\"$:$*$)F7F]pF+!#:*(F4F+FGF+F6F+!#k*(FGF+F6F+)FinF*F+! \"%*,F'F+F.F+FGF+F6F+FinF+\"#C*&FJF+F6F+!$D&*&F4F+FPF+\"$D#F&F'F+)F/F] pF+F+*$)F%\"\"&F+F:#F8Ffo*&*(,4**F4F+FGF+F6F+FinF+\"$!e**F'F+F_oF+FGF+ F6F+!$J(**F'F+F.F+FPF+FGF+\"$&H*(F'F+F_oF+FPF+\"%vO*(F'F+F[oF+F6F+!%:m *&F'F+)F.\"\"(F+\"%lM*,F'F+F.F+FGF+F6F+FepF+!#e*(FPF+FGF+FinF+!$3\"*(F 'F+F.F+F`pF+FjpF&F'F+)F/FarF+F+*$)F%\"\"'F+F:#F&\"$?%*&*(,<*&F4F+F`pF+ !&+T%*&)F%FKF+FPF+!#S*,F'F+F.F+FGF+FPF+FinF+!%gX*,F'F+F_oF+F6F+FGF+Fin F+\"&C9\"*(FGF+F6F+FJF+!&7#G*(FGF+FPF+F4F+\"&Ox\"*$)F.\"\")F+\"'N^8*(F GF+FPF+FepF+\"$c%*&F\\pF+F6F+!'g5H*$)F7F`tF+\"%v:**FGF+F6F+FepF+F4F+!% [C*&FGF+F`pF+!%)=\"*&FJF+FPF+\"']%)>F&F'F+)F/F`tF+F+*$)F%\"\"(F+F:#F8 \"%S]*&*(,@**F4F+FPF+FGF+FinF+!&Ov'*(F`pF+FGF+FinF+\"%SW*(FdsF+FPF+Fin F+\"$/&**FJF+FGF+F6F+FinF+\"'!34\"*(FgtF+F'F+F.F+\"&vI$*(F[oF+F'F+FPF+ \"(q(48*(F`rF+F'F+F6F+!(?;i\"*(F_oF+F'F+F`pF+!'+pR**F'F+F.F+FPF+FdsF+! $t'**F[oF+F'F+FGF+F6F+!'IW8**F_oF+F'F+FPF+FGF+\"'S^6**F`pF+F'F+F.F+FGF +!&#)z\"*&)F.\"\"*F+F'F+\"'vcn*,FPF+F'F+F.F+FGF+FepF+\"%C[*,F_oF+F'F+F GF+F6F+FepF+!&?@\"F&F'F+)F/FbwF+F+*$)F%\"\")F+F:#F&\"&?^\"*&%$h10GF&)F /\"#5F+F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 94 "subst:=[u0=1,u 1=-0.2,g0=0.0915,h1=-0.1];\nplot(subs(subst,\{uS,gS\}),r=0..10,view=[0 ..10,-1..5]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&substG7&/%#u0G\"\" \"/%#u1G$!\"#!\"\"/%#g0G$\"$:*!\"%/%#h1G$F-F-" }}{PARA 13 "" 1 "" {INLPLOT "6&-%'CURVESG6$7X7$\"\"!$\"\"\"F(7$$\"1nmm;arz@!#;$\"1LPAnl0k &*F.7$$\"1LL$e9ui2%F.$\"1W=g>qt%=*F.7$$\"1nmm\"z_\"4iF.$\"1FvNw75e()F. 7$$\"1ommT&phN)F.$\"1'=')\\bg%G$)F.7$$\"1LLe*=)H\\5!#:$\"1v=AZ8W+zF.7$ $\"1nm\"z/3uC\"FC$\"1fNJ<))*G](F.7$$\"1++DJ$RDX\"FC$\"1yV[T23!4(F.7$$ \"1nm\"zR'ok;FC$\"1:B'F.7$$\"1MLL 3En$4#FC$\"1)RD'pMy'y&F.7$$\"1nm;/RE&G#FC$\"13&3\\QTMR&F.7$$\"1+++D.&4 ]#FC$\"1t;<)fP6&\\F.7$$\"1+++vB_wZJ[klPF.7$$\"1MLL347TLFC$\"19'RY lBMU$F.7$$\"1MLLLY.KNFC$\"1;**Hd\"HWA$F.7$$\"1++D\"o7Tv$FC$\"1^\\`W-Bl JF.7$$\"1LLL$Q*o]RFC$\"1)e861m;N$F.7$$\"1,+D\"=lj;%FC$\"1XC')eA$*[RF.7 $$\"1++vV&R5(F.7$$\" 1MLeR\"3Gy%FC$\"1-#)oOr-.5FC7$$\"1nm;/T1&*\\FC$\"1ZJ%p$HWy9FC7$$\"1nm \"zRQb@&FC$\"1V)=_AXK@#FC7$$\"1++v=>Y2aFC$\"1SBfpU$H7$FC7$$\"1nm;zXu9c FC$\"1pb#HEs9[%FC7$$\"1+++]y))GeFC$\"1?cV)*GOCkFC7$$\"1++]i_QQgFC$\"16 gk%*>v?!*FC7$$\"1,+D\"y%3TiFC$\"1X*eL(ee37%F]u7$$\"1,++D\\'QH(FC$\"1d*466sbY&F ]u7$$\"1LLe9S8&\\(FC$\"1RN4$pCR2(F]u7$$\"1,+D1#=bq(FC$\"1Z*F]u7 $$\"1LLL3s?6zFC$\"1JHEElfz6!#87$$\"1++DJXaE\")FC$\"1#fsrk#o?:Ffw7$$\"1 ommm*RRL)FC$\"11nF#y\\)H>Ffw7$$\"1om;a<.Y&)FC$\"1\\'fA&[YZCFfw7$$\"1NL e9tOc()FC$\"1i9QE,5!3$Ffw7$$\"1,++]Qk\\*)FC$\"1/!ykA=ly$Ffw7$$\"1pmT5A Sg!*FC$\"1f$\\ZVMPD%Ffw7$$\"1NL$3dg6<*FC$\"1V+z+j%>x%Ffw7$$\"1,+voTAq# *FC$\"14-Vq'=EG&Ffw7$$\"1ommmxGp$*FC$\"1X)4['otTeFfw7$$\"1M$eRA5\\Z*FC $\"1[$e_V!y&\\'Ffw7$$\"1++D\"oK0e*FC$\"1K@kRNt9sFfw7$$\"1,++]oi\"o*FC$ \"15@2z'p)ozFfw7$$\"1,+v=5s#y*FC$\"1QHyt*eHz)Ffw7$$\"1,]P40O\"*)*FC$\" 1\"Rf!Q40j(*Ffw7$$\"#5F($\"1HR@C)4G3\"!#7-%'COLOURG6&%$RGBG$F_\\l!\"\" F(F(-F$6$7Z7$F($\"1++++++]\"*!#<7$F,$\"1r'p\"=!*3]\"*F_]l7$F2$\"13o\"H 8<6:*F_]l7$F7$\"1RT.>P>c\"*F_]l7$F<$\"1g7>U)Q4<*F_]l7$FA$\"1ZJBAa\"[6x*F_]l7$Fen$\"1S\"Q)oQg95F.7$Fjn$\"1Sj1V#p01\"F.7$F_o$ \"1%f'[#4>18\"F.7$Fdo$\"176p2u&\\A\"F.7$Fio$\"1++[S>EV8F.7$F^p$\"1;XiM hrx9F.7$Fcp$\"1KC8uc7v;F.7$Fhp$\"1(zkeocs#=FC7$Fdu$!1L<. '[Lw#HFC7$Fiu$!1U?,\\zOiXFC7$F^v$!1SZO$G/cd'FC7$Fcv$!1TID#e*GB&*FC7$Fh v$!1o:hpxA?8F]u7$F]w$!1l5A*[jP#=F]u7$Fbw$!1&HOh\\WNY#F]u7$Fhw$!1o4'yf@ *GLF]u7$F]x$!1c3))[FH(R%F]u7$Fbx$!1Q*>$oto%y&F]u7$Fgx$!1izeoH.AvF]u7$F \\y$!1_hv`W0/&*F]u7$Fay$!1LL9y=[$3\"Ffw7$Ffy$!1`89$GeEB\"Ffw7$F[z$!1\\ G-(\\&4\"Q\"Ffw7$F`z$!1B))R:@1X:Ffw7$Fez$!12))y@\"y&Q`>Ffw7$F_[l$!1*)3'>1;-=#Ffw7$Fd[l$!1BPaCWGICFfw7$$\"1+D1k2/P)*FC$!1xy BCT([d#Ffw7$Fi[l$!1)\\Q`@Oqs#Ffw7$$\"1,voa-oX**FC$!1uw]vw6()GFfw7$F^\\ l$!1%pVWAza0$Ffw-Fd\\l6&Ff\\lF(Fg\\lF(-%+AXESLABELSG6$Q\"r6\"%!G-%%VIE WG6$;F(F^\\l;$Fh\\lF($\"\"&F(" 2 424 424 424 2 0 1 0 2 9 0 4 2 1.000000 45.000000 45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 13856 -16400 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 143 "Order:=2;\n\neqn:=subs(\{m=1,kappa=-1\},\{e1,e2,e3\})\nunion\n\{ \nu(0)=q,\nD(u)(0)=b,\nD(h)(0)=d,\ng(0)=c\n\}:\n\nres:=dsolve(eqn,\{u( r),h(r),g(r)\},type=series);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&Ord erG\"\"#" }}{PARA 8 "" 1 "" {TEXT -1 78 "Error, (in dsolve/series/ordi nary) invalid specification of initial conditions" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 47 "De finition of integration and filing procedures" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 221 "plotname:=proc(name)\nlocal file;\nif (writeplo t) then\n file:=sprintf(\"/home/mt/usr/proca/MaplePlots/%s.eps\",name );\n print(file);\n plotsetup(ps,plotoutput=file,plotoptions=`nobord er`);\nelse\n plotsetup(default);\nfi;\nend:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 233 "plotRes:=proc()\nlocal p1,p2;\n\np1:=odeplot(re s,[[r,h(r)],[r,h(r)/r],[r,g(r)],[r,-diff(u(r),r)],[r,u(r)]],0..10,nump oints=100,color=black):\np2:=textplot([[9,-0.3,'r']],font=[TIMES,ITALI C,18]):\ndisplay(\{p1,p2\},view=[0..10,-2..6]);\n\nend:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 177 "getEntry:=proc(array,str)\nlocal i ndex,run;\n\nindex:=0;run:=true;\n\nwhile (run) do\n index:=index + 1 ;\n if (lhs(array[index])=str) then run:=false; fi;\nod;\nrhs(array[i ndex]);\nend:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 368 "Integrati onFromInfinity:=\nproc(K,M,Q,R)\nglobal res;\nlocal hR, gR, uR, duR, e qn;\n\nDigits:=15;\nhR:=evalf(R*sqrt(1-2*M/R));\ngR:=1;\nuR:=evalf(Q*e xp(-K*R));\nduR:=evalf(-K*uR);\n #print(\"hR\",hR,\"gR\",gR,\"uR\",uR ,\"duR\",duR);\n\neqn:=subs(\{m=K,kappa=-1\},\{e1,e2,e3\})\nunion\n\{ \nu(R)=uR,\nD(u)(R)=duR,\nh(R)=hR,\ng(R)=gR\n\}:\n\nres:=dsolve(eqn,\{ u(r),h(r),g(r)\},numeric,maxfun=-1);\n\nres\n\nend:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 370 "IntegrationFromInfinityWithEnergyIntegra l:=\nproc(K,M,Q,R)\nglobal res;\nlocal hR, gR, uR, duR, sR, eqn;\n\nDi gits:=15;\n\nhR:=evalf(R*sqrt(1-2*M/R));\ngR:=1;\nuR:=evalf(Q*exp(-K*R ));\nduR:=evalf(-K*uR);\nsR:=0;\n\neqn:=subs(\{m=K,kappa=-1\},\{e1,e2, e3,e4\})\nunion\n\{\nu(R)=uR,\nD(u)(R)=duR,\nh(R)=hR,\ng(R)=gR,\ns(R)= sR\n\}:\n\nres:=dsolve(eqn,\{u(r),h(r),g(r),s(r)\},numeric,maxfun=-1); \n\nres\n\nend:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 390 "Integra tionFromInfinityWithEnergy:=\nproc(K,M,Q,R)\nglobal res;\nlocal hR, gR , uR, duR, sR, tR, eqn;\n\nDigits:=15;\n\nhR:=evalf(R*sqrt(1-2*M/R)); \ngR:=1;\nuR:=evalf(Q*exp(-K*R));\nduR:=evalf(-K*uR);\nsR:=0;\ntR:=0; \n\neqn:=subs(\{m=K,kappa=-1\},\{e1,e2,e3,e4,e5\})\nunion\n\{\nu(R)=uR ,\nD(u)(R)=duR,\nh(R)=hR,\ng(R)=gR,\ns(R)=sR,\nt(R)=tR\n\}:\n\nres:=ds olve(eqn,\{u(r),h(r),g(r),s(r),t(r)\},numeric,maxfun=-1);\n\nres\n\nen d:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 291 "IntegrationFromZero: =\nproc(K,b,c,q)\nglobal res;\nlocal R, hR, gR, uR, duR, eqn;\n\nDigit s:=15; R:=0.01;\n\nuR:=q;\nhR:=q/sqrt(2);\ngR:=c;\nduR:=b;\n\neqn:=sub s(\{m=K,kappa=-1\},\{e1,e2,e3\})\nunion\n\{\nu(R)=uR,\nD(u)(R)=duR,\nh (R)=hR,\ng(R)=gR\n\}:\n\nres:=dsolve(eqn,\{u(r),h(r),g(r)\},numeric,ma xfun=-1);\n\nres\n\nend:" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 58 "Standard solution m=M=Q=1 w ith and without Energy-momentum" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "IntegrationFromInfinity(1,.6,.054,60);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%$resG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 141 "w riteplot:=false;\n#writeplot:=true;\nplotname(`proca_f2extrem`);\nodep lot(res,[[r,h(r)/r]],0..5,numpoints=100,color=black,view=[0..5,0..1.2] );\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*writeplotG%&falseG" }} {PARA 13 "" 1 "" {INLPLOT "6%-%'CURVESG6#7aq7$%%FAILGF(7$$\"+++++]!#6$ \"+`S%yt\"!#57$$\"+++++5F/$\"+#Qub(*)F,7$$\"+++++:F/$\"+^Z]rhF,7$$\"++ +++?F/$\"+gs-oZF,7$$\"+++++DF/$\"+D=/ERF,7$$\"+++++IF/$\"+(e1lO$F,7$$ \"+++++NF/$\"+%H'eqHF,7$$\"+++++SF/$\"+D%3(zEF,7$$\"+++++XF/$\"+*Q%GiC F,7$$F+F/$\"+3:Y+BF,7$$\"+++++bF/$\"+kl?%=#F,7$$\"+++++gF/$\"+2j^3@F,7 $$\"+++++lF/$\"+1Q=s?F,7$$\"+++++qF/$\"+qr_x?F,7$$\"+++++vF/$\"+h1&48# F,7$$\"+++++!)F/$\"+=$fXC#F,7$$\"+++++&)F/$\"+e[`RCF,7$$\"+++++!*F/$\" +7u'Hv#F,7$$\"+++++&*F/$\"+d3>_KF,7$$F2!\"*$\"+X(om1%F,7$$\"++++]5Feq$ \"+'*pwhaF,7$$\"+++++6Feq$\"+&prr)zF,7$$\"++++]6Feq$\"+N/jX7F/7$$\"+++ 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Producing 'Plots'-buffer" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 495 "Qs:=5;Ms:=5;\nPlots:=array(0..Qs,0..Ms);\nQ:=array(0 ..5,[0.05,0.2,0.6,1.5,3.0,8.0]);\nM:=array(0..5,[0.05,0.2,0.6,1.5,3.0, 8.0]);\n\nfor i from 0 by 1 to Qs do for j from 0 by 1 to Ms do\n pri ntf(\"%d,%d,%6.2g,%6.2g\\t\\n\",i,j,Q[i],M[j]);\n\n IntegrationFromIn finity(1,M[j],Q[i],60);\n Plots[i,j]:=traperror(\n odeplot(res,[[r ,h(r)],[r,(h(r)/r)**2],[r,g(r)],[r,u(r)],[r,-diff(u(r),r)]],0..20,nump oints=400,color=black));\n #lprint(Plots[i,j]);\nod;od;\n\nsave Plots ,\"/home/mt/usr/proca/MapleBuffers/Plots\";" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#QsG\"\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#MsG\" \"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&PlotsG-%&arrayG6%;\"\"!\"\"& F(7\"" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%\"QG-%&ARRAYG6$7#;\"\"!\"\" &7(/6#F*$F+!\"#/6#\"\"\"$\"\"#!\"\"/6#F5$\"\"'F6/6#\"\"$$\"#:F6/6#\"\" %$\"#IF6/6#F+$\"#!)F6" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%\"MG-%&ARRA 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1 0 46 "#load \"/home/mt/usr/proca/MapleBuffers/Plots\";" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2126 "writeplot:=false;\n#writep lot:=true;\n\nplotname(\"proca_hQ\");\ntit:=sprintf(\"h(r) : m=1, M=%4 .2f, Q=%4.2f, %4.2f, %4.2f, %4.2f, %4.2f, %4.2f\",\n M[2 ],Q[0],Q[1],Q[2],Q[3],Q[4],Q[5]):\ntxt:=textplot([[1,4.5,tit],[2,3,`Q= 8`]],align=RIGHT,font=[TIMES,ITALIC,18]):\ndisplay(\{txt,seq(op(1,Plot s[i,2]),i=0..Qs)\},view=[0..5,0..5]);\n\nplotname(\"proca_f2Q\");\ntit :=sprintf(\"f^2(r) : m=1, M=%4.2f, Q=%4.2f, %4.2f, %4.2f, %4.2f, %4.2f , %4.2f\",\n M[2],Q[0],Q[1],Q[2],Q[3],Q[4],Q[5]):\ntxt:= textplot([[1,4.5,tit],[1.8,3,`Q=8`]],align=RIGHT,font=[TIMES,ITALIC,18 ]):\ndisplay(\{txt,seq(op(2,Plots[i,2]),i=0..Qs)\},view=[0..5,0..5]); \n\nplotname(\"proca_gQ\");\ntit:=sprintf(\"g(r) : m=1, M=%4.2f, Q=%4. 2f, %4.2f, %4.2f, %4.2f, %4.2f, %4.2f\",\n M[2],Q[0],Q[1 ],Q[2],Q[3],Q[4],Q[5]):\ntxt:=textplot([[1,4.5,tit],[2.5,0.5,`Q=8`]],a lign=RIGHT,font=[TIMES,ITALIC,18]):\ndisplay(\{txt,seq(op(3,Plots[i,2] ),i=0..Qs)\},view=[0..5,0..5]);\n\nplotname(\"proca_uQ\");\ntit:=sprin tf(\"u(r) : m=1, M=%4.2f, Q=%4.2f, %4.2f, %4.2f, %4.2f, %4.2f, %4.2f\" ,\n M[2],Q[0],Q[1],Q[2],Q[3],Q[4],Q[5]):\ntxt:=textplot( [[1,4.5,tit],[2.2,3,`Q=8`]],align=RIGHT,font=[TIMES,ITALIC,18]):\ndisp lay(\{txt,seq(op(4,Plots[i,2]),i=0..Qs)\},view=[0..5,0..5]);\n\n\n\n\n \n\nplotname(\"proca_hM\");\ntit:=sprintf(\"h(r) : m=1, Q=%4.2f, M=%4. 2f, %4.2f, %4.2f, %4.2f, %4.2f, %4.2f\",\n Q[2],M[0],M[1 ],M[2],M[3],M[4],M[5]):\ntxt:=textplot([[1,9,tit],[18,6,`M=8`]],align= RIGHT,font=[TIMES,ITALIC,18]):\ndisplay(\{txt,seq(op(1,Plots[2,j]),j=0 ..Ms)\},view=[0..20,0..10]);\n\nplotname(\"proca_gM\");\ntit:=sprintf( \"g(r) : m=1, Q=%4.2f, M=%4.2f, %4.2f, %4.2f, %4.2f, %4.2f, %4.2f\",\n Q[2],M[0],M[1],M[2],M[3],M[4],M[5]):\ntxt:=textplot([[1 ,4.5,tit],[17.5,0.5,`M=8`]],align=RIGHT,font=[TIMES,ITALIC,18]):\ndisp lay(\{txt,seq(op(3,Plots[2,j]),j=0..Ms)\},view=[0..20,0..5]);\n\nplotn ame(\"proca_uM\");\ntit:=sprintf(\"u(r) : m=1, Q=%4.2f, M=%4.2f, %4.2f , %4.2f, %4.2f, %4.2f, %4.2f\",\n Q[2],M[0],M[1],M[2],M[ 3],M[4],M[5]):\ntxt:=textplot([[1,9,tit],[16.5,4,`M=8`]],align=RIGHT,f ont=[TIMES,ITALIC,18]):\ndisplay(\{txt,seq(op(4,Plots[2,j]),j=0..Ms)\} ,view=[0..20,0..10]);" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%*writeplotG%&falseG" }}{PARA 13 "" 1 "" {INLPLOT "6+-%'CURVESG6#7] dl7$%%FAILGF(7$$\"+++++]!#6$\"1y)Hc(ycy9!#:7$$\"+++++5!#5$\"1Ip\\1;3`9 F/7$$\"+++++:F3$\"1p%3\\w'oF9F/7$$\"+++++?F3$\"1%*3wp7S-9F/7$$\"+++++D F3$\"1\"*3sM#\\sP\"F/7$$\"+++++IF3$\"17[A'HhAN\"F/7$$\"+++++NF3$\"1*=) >k\\ZF8F/7$$\"+++++SF3$\"1yd(y*\\$HI\"F/7$$\"+++++XF3$\"1\\mJ4Qpy7F/7$ $F+F3$\"1)z'H(*=\"[D\"F/7$$\"+++++bF3$\"1d@79$e8B\"F/7$$\"+++++gF3$\"1 ![zt;6%37F/7$$\"+++++lF3$\"1mC\\d\"eg=\"F/7$$\"+++++qF3$\"1w&=)\\rRk6F /7$$\"+++++vF3$\"11vQwn`V6F/7$$\"+++++!)F3$\"1(*H]cqfB6F/7$$\"+++++&)F 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Producing \+ 'Res'-buffer" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 416 "Qs:=30;Ms:= 30;\n\nRes:=array(0..Qs,0..Ms);\nQ:=array(0..Qs);\nM:=array(0..Ms);\n \nfor i from 0 by 1 to Qs do for j from 0 by 1 to Ms do\n Q[i]:=evalf (0.01*1000**(i/Qs));\n M[j]:=evalf(0.01*1000**(j/Ms));\n printf(\"%d ,%d,%6.2g,%6.2g\\t\",i,j,Q[i],M[j]);\n\n IntegrationFromInfinityWithE nergyIntegral(1,M[j],Q[i],60);\n Res[i,j]:=traperror(res(0.01));\n l print(Res[i,j]);\nod;od;\n\nsave Res,\"/home/mt/usr/proca/MapleBuffers /Res\";" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#QsG\"#I" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#MsG\"#I" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$R esG-%&arrayG6%;\"\"!\"#IF(7\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"Q G-%&arrayG6$;\"\"!\"#I7\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"MG-%& arrayG6$;\"\"!\"#I7\"" }}{PARA 6 "" 1 "" {TEXT -1 184 "0,0, .01, . 01\011[r = .1e-1, u(r) = .5442557483022410e-5, diff(u(r),r) = .5442557 483022412e-3, g(r) = .9324892752479971e-24, s(r) = .2885918147279815e- 8, h(r) = .3035025571745845e-13]" }}{PARA 6 "" 1 "" {TEXT -1 184 "0,1, .01, .01\011[r = .1e-1, u(r) = .8654320182101978e-5, diff(u(r),r) = .8654320182101956e-3, g(r) = .9394715763734731e-23, s(r) = .1771394 623848604e-7, h(r) = .3765527040678863e-13]" }}{PARA 6 "" 1 "" {TEXT -1 184 "0,2, .01, .02\011[r = .1e-1, u(r) = .1346823754101795e-4, \+ diff(u(r),r) = .1346823754101762e-2, g(r) = .8089803364332968e-23, s(r ) = .7336208209952384e-7, h(r) = .6370201997445045e-13]" }}{PARA 6 "" 1 "" {TEXT -1 184 "0,3, .01, .02\011[r = .1e-1, u(r) = .2031026471 062310e-4, diff(u(r),r) = .2031026471062311e-2, g(r) = .27584753466448 45e-23, s(r) = .2772846279824339e-6, h(r) = .2252590005758934e-12]" }} {PARA 6 "" 1 "" {TEXT -1 63 "0,4, .01, .03\011rkf45 is unable to a chieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 63 "0,5, .01, \+ .03\011rkf45 is unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 184 "0,6, .01, .04\011[r = .1e-1, u(r) = .5691212753 748981e-4, diff(u(r),r) = .5691212753748839e-2, g(r) = .47377390659359 74e-23, s(r) = .1467109087749194e-4, h(r) = .1074498292781107e-11]" }} {PARA 6 "" 1 "" {TEXT -1 184 "0,7, .01, .05\011[r = .1e-1, u(r) = \+ .7442094806019121e-4, diff(u(r),r) = .7442094806018059e-2, g(r) = .572 1386044713494e-21, s(r) = .6314689016275375e-4, h(r) = .57527178776951 66e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "0,8, .01, .06\011[r = .1e -1, u(r) = .9372480232362509e-4, diff(u(r),r) = .9372480232361416e-2, \+ g(r) = .2343413820378500e-20, s(r) = .1770249103027094e-3, h(r) = .162 7094255934121e-11]" }}{PARA 6 "" 1 "" {TEXT -1 184 "0,9, .01, .08 \011[r = .1e-1, u(r) = .1138175032879598e-3, diff(u(r),r) = .113817503 2879617e-1, g(r) = .1644319111501960e-23, s(r) = .4118467533990468e-3, h(r) = .1532112017603666e-11]" }}{PARA 6 "" 1 "" {TEXT -1 64 "0,10, \+ .01, .1 \011rkf45 is unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 185 "0,11, .01, .13\011[r = .1e-1, u(r) = .1520 291206973700e-3, diff(u(r),r) = .1520291206971360e-1, g(r) = .81046956 76730803e-21, s(r) = .4064313513468518e-2, h(r) = .1659012613984320e-1 1]" }}{PARA 6 "" 1 "" {TEXT -1 185 "0,12, .01, .16\011[r = .1e-1, \+ u(r) = .1677388519629490e-3, diff(u(r),r) = .1677388519629987e-1, g(r) = .7477176096002776e-20, s(r) = .7719433591561817e-2, h(r) = .4500748 465410404e-11]" }}{PARA 6 "" 1 "" {TEXT -1 64 "0,13, .01, .2 \011r kf45 is unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 185 "0,14, .01, .25\011[r = .1e-1, u(r) = .1828787897527238e-3, diff(u(r),r) = .1828787897524733e-1, g(r) = .8345429538939843e-21, s( r) = .4631649513857335e-1, h(r) = .2110655732287827e-11]" }}{PARA 6 " " 1 "" {TEXT -1 185 "0,15, .01, .32\011[r = .1e-1, u(r) = .1987203 077650387e-3, diff(u(r),r) = .1987203077654847e-1, g(r) = .10087333638 13268e-19, s(r) = .7773719663888250e-1, h(r) = .7688480345911589e-11] " }}{PARA 6 "" 1 "" {TEXT -1 182 "0,16, .01, .4 \011[r = .1e-1, u( r) = .2329544963476111e-3, diff(u(r),r) = .2329544963466183e-1, g(r) = .8122685480789123e-24, s(r) = .1814961277409348, h(r) = .974503157940 0000e-11]" }}{PARA 6 "" 1 "" {TEXT -1 182 "0,17, .01, .5 \011[r = \+ .1e-1, u(r) = .2809846266793891e-3, diff(u(r),r) = .2809846266838868e- 1, g(r) = .9689687780046696e-20, s(r) = .6062110549219761, h(r) = .674 6897926085100e-11]" }}{PARA 6 "" 1 "" {TEXT -1 182 "0,18, .01, .63 \011[r = .1e-1, u(r) = .3573692258885095e-3, diff(u(r),r) = .357369225 8900060e-1, g(r) = .6519259227562496e-19, s(r) = 1.718899608523379, h( r) = .2392264762084296e-10]" }}{PARA 6 "" 1 "" {TEXT -1 182 "0,19, . 01, .79\011[r = .1e-1, u(r) = .4752016379438824e-3, diff(u(r),r) = . 4752016379370943e-1, g(r) = .1515029712356710e-18, s(r) = 5.6462118501 08802, h(r) = .3216909232237529e-10]" }}{PARA 6 "" 1 "" {TEXT -1 181 " 0,20, .01, 1 \011[r = .1e-1, u(r) = .6810797066248226e-3, diff(u( r),r) = .6810793403392561e-1, g(r) = .2410131029570489e-10, s(r) = 12. 36987934784378, h(r) = .6846850708042788e-7]" }}{PARA 6 "" 1 "" {TEXT -1 177 "0,21, .01, 1.26\011[r = .1e-1, u(r) = .3313646855397914e-1, diff(u(r),r) = .1035825058226009, g(r) = .2500255563919034e-2, s(r) = 15.30716202504404, h(r) = .2271519252635851e-1]" }}{PARA 6 "" 1 "" {TEXT -1 175 "0,22, .01, 1.58\011[r = .1e-1, u(r) = .60478262089681 94, diff(u(r),r) = -.3303071271593126e-1, g(r) = .3832125599756962e-1, s(r) = 27.55239793573694, h(r) = .4272079264137852]" }}{PARA 6 "" 1 " " {TEXT -1 172 "0,23, .01, 2 \011[r = .1e-1, u(r) = 1.63475445911 1448, diff(u(r),r) = -.2254653423111257, g(r) = .6983431115074307e-1, \+ s(r) = 53.34934556504058, h(r) = 1.156022063571054]" }}{PARA 6 "" 1 " " {TEXT -1 172 "0,24, .01, 2.51\011[r = .1e-1, u(r) = 2.96137067429 5825, diff(u(r),r) = -.3835683906695714, g(r) = .8118141874389280e-1, \+ s(r) = 98.00739732656149, h(r) = 2.094541609460461]" }}{PARA 6 "" 1 " " {TEXT -1 172 "0,25, .01, 3.16\011[r = .1e-1, u(r) = 4.53909331515 4583, diff(u(r),r) = -.4965258609395545, g(r) = .7870606154860255e-1, \+ s(r) = 170.2705426018511, h(r) = 3.210507589262255]" }}{PARA 6 "" 1 " " {TEXT -1 172 "0,26, .01, 3.98\011[r = .1e-1, u(r) = 6.30262542382 2222, diff(u(r),r) = -.5650573592105843, g(r) = .6906304118045775e-1, \+ s(r) = 280.4793189562439, h(r) = 4.457739784634292]" }}{PARA 6 "" 1 " " {TEXT -1 172 "0,27, .01, 5.01\011[r = .1e-1, u(r) = 8.12401891423 3886, diff(u(r),r) = -.5907840178883308, g(r) = .5652095838501536e-1, \+ s(r) = 438.1092499720954, h(r) = 5.745769249355060]" }}{PARA 6 "" 1 " " {TEXT -1 172 "0,28, .01, 6.31\011[r = .1e-1, u(r) = 9.77973644185 2677, diff(u(r),r) = -.5746149054717725, g(r) = .4346737423223419e-1, \+ s(r) = 646.3734403962656, h(r) = 6.916536641617665]" }}{PARA 6 "" 1 " " {TEXT -1 172 "0,29, .01, 7.94\011[r = .1e-1, u(r) = 10.9017099008 3240, diff(u(r),r) = -.5163074014497651, g(r) = .3111468761045113e-1, \+ s(r) = 890.4296589787954, h(r) = 7.709781474421124]" }}{PARA 6 "" 1 " " {TEXT -1 172 "0,30, .01, 10 \011[r = .1e-1, u(r) = 10.8931864037 6689, diff(u(r),r) = -.4140701736103873, g(r) = .2000200433893272e-1, \+ s(r) = 1111.833576613770, h(r) = 7.703534463764273]" }}{PARA 6 "" 1 " " {TEXT -1 184 "1,0, .01, .01\011[r = .1e-1, u(r) = .6853459867392 025e-5, diff(u(r),r) = .6853459867392006e-3, g(r) = .4681248624918378e -23, s(r) = .5268128684577093e-8, h(r) = .2817191770391335e-13]" }} {PARA 6 "" 1 "" {TEXT -1 184 "1,1, .01, .01\011[r = .1e-1, u(r) = \+ .1090012782992063e-4, diff(u(r),r) = .1090012782992076e-2, g(r) = .382 5707616075146e-23, s(r) = .2504596772452114e-7, h(r) = .41373391389777 52e-13]" }}{PARA 6 "" 1 "" {TEXT -1 63 "1,2, .01, .02\011rkf45 is \+ unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 185 " 1,3, .01, .02\011[r = .1e-1, u(r) = .2557911258137998e-4, diff(u(r ),r) = .2557911258137938e-2, g(r) = .7901168865317302e-24, s(r) = .436 6611780552322e-6, h(r) = -.7673483484260541e-13]" }}{PARA 6 "" 1 "" {TEXT -1 184 "1,4, .01, .03\011[r = .1e-1, u(r) = .374075773071865 1e-4, diff(u(r),r) = .3740757730718656e-2, g(r) = .1318523710278294e-2 1, s(r) = .2323360606359385e-5, h(r) = .1398136385819366e-12]" }} {PARA 6 "" 1 "" {TEXT -1 184 "1,5, .01, .03\011[r = .1e-1, u(r) = \+ .5272966876742701e-4, diff(u(r),r) = .5272966876742334e-2, g(r) = .971 6913929122989e-21, s(r) = .7812403308662116e-5, h(r) = .69691240604850 81e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "1,6, .01, .04\011[r = .1e -1, u(r) = .7169324339787498e-4, diff(u(r),r) = .7169324339787295e-2, \+ g(r) = .1104374512934131e-20, s(r) = .2759349262025997e-4, h(r) = .850 1382288904387e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "1,7, .01, .05 \011[r = .1e-1, u(r) = .9372191215066851e-4, diff(u(r),r) = .937219121 5068014e-2, g(r) = .8785392482666517e-21, s(r) = .9659637855745972e-4, h(r) = .7511676436223072e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "1,8, \+ .01, .06\011[r = .1e-1, u(r) = .1180209870821333e-3, diff(u(r),r) = .1180209870821183e-1, g(r) = .1809372197537829e-20, s(r) = .278290931 4229794e-3, h(r) = .1555339168701521e-11]" }}{PARA 6 "" 1 "" {TEXT -1 184 "1,9, .01, .08\011[r = .1e-1, u(r) = .1433140227250829e-3, dif f(u(r),r) = .1433140227250203e-1, g(r) = .6889265287490368e-20, s(r) = .7712484341304214e-3, h(r) = .2925508435943663e-11]" }}{PARA 6 "" 1 " " {TEXT -1 64 "1,10, .01, .1 \011rkf45 is unable to achieve reques ted accuracy" }}{PARA 6 "" 1 "" {TEXT -1 185 "1,11, .01, .13\011[r = .1e-1, u(r) = .1914288928228391e-3, diff(u(r),r) = .191428892823120 6e-1, g(r) = .1254882978216983e-21, s(r) = .5374228054822128e-2, h(r) \+ = .9316317701530378e-12]" }}{PARA 6 "" 1 "" {TEXT -1 185 "1,12, .01, .16\011[r = .1e-1, u(r) = .2112147998329915e-3, diff(u(r),r) = .211 2147998330995e-1, g(r) = .6655264610480695e-20, s(r) = .12118699401791 21e-1, h(r) = .4576425280039888e-11]" }}{PARA 6 "" 1 "" {TEXT -1 185 " 1,13, .01, .2 \011[r = .1e-1, u(r) = .2254060671394964e-3, diff(u( r),r) = .2254060671397959e-1, g(r) = .2196684555358184e-19, s(r) = .25 83583047319526e-1, h(r) = .8959105237680236e-11]" }}{PARA 6 "" 1 "" {TEXT -1 185 "1,14, .01, .25\011[r = .1e-1, u(r) = .23030665996488 85e-3, diff(u(r),r) = .2303066599642200e-1, g(r) = .5753504800350209e- 23, s(r) = .4727312476460446e-1, h(r) = .1055070017750791e-10]" }} {PARA 6 "" 1 "" {TEXT -1 64 "1,15, .01, .32\011rkf45 is unable to \+ achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 182 "1,16, .0 1, .4 \011[r = .1e-1, u(r) = .2934679658665982e-3, diff(u(r),r) = .2 934679658612733e-1, g(r) = .4264134182361143e-22, s(r) = .327458009058 5485, h(r) = .5001960941729982e-11]" }}{PARA 6 "" 1 "" {TEXT -1 182 "1 ,17, .01, .5 \011[r = .1e-1, u(r) = .3541935754076732e-3, diff(u(r ),r) = .3541935754038931e-1, g(r) = .2599305088877133e-19, s(r) = .895 0534355875853, h(r) = .1313745815538426e-10]" }}{PARA 6 "" 1 "" {TEXT -1 182 "1,18, .01, .63\011[r = .1e-1, u(r) = .4512257214884805e-3, diff(u(r),r) = .4512257214854226e-1, g(r) = .4969574960733315e-22, s( r) = 2.445666751493437, h(r) = .2123471847640999e-10]" }}{PARA 6 "" 1 "" {TEXT -1 182 "1,19, .01, .79\011[r = .1e-1, u(r) = .60298479443 95132e-3, diff(u(r),r) = .6029847944288030e-1, g(r) = .324475907441176 1e-22, s(r) = 8.402195058210451, h(r) = .8065329187103921e-11]" }} {PARA 6 "" 1 "" {TEXT -1 180 "1,20, .01, 1 \011[r = .1e-1, u(r) = .8923954149294999e-3, diff(u(r),r) = .8838424881165297e-1, g(r) = .71 23029376653453e-6, s(r) = 12.22722055860050, h(r) = .1675546953793105e -4]" }}{PARA 6 "" 1 "" {TEXT -1 174 "1,21, .01, 1.26\011[r = .1e-1, u(r) = .1530941108350594, diff(u(r),r) = .8429089844205280e-1, g(r) = .1349169035545308e-1, s(r) = 16.61133653580650, h(r) = .1075044685747 898]" }}{PARA 6 "" 1 "" {TEXT -1 175 "1,22, .01, 1.58\011[r = .1e-1 , u(r) = .8808778995694723, diff(u(r),r) = -.9990048147386833e-1, g(r) = .5732884608383956e-1, s(r) = 31.35335318479569, h(r) = .62256399768 06721]" }}{PARA 6 "" 1 "" {TEXT -1 172 "1,23, .01, 2 \011[r = .1e -1, u(r) = 1.961829294604720, diff(u(r),r) = -.2889308586660463, g(r) \+ = .8404892979156543e-1, s(r) = 59.16881720607108, h(r) = 1.38743903568 1336]" }}{PARA 6 "" 1 "" {TEXT -1 172 "1,24, .01, 2.51\011[r = .1e- 1, u(r) = 3.318317951788292, diff(u(r),r) = -.4370687846720394, g(r) = .9050954544845916e-1, s(r) = 106.3515077672366, h(r) = 2.347066526084 661]" }}{PARA 6 "" 1 "" {TEXT -1 172 "1,25, .01, 3.16\011[r = .1e-1 , u(r) = 4.920648112354739, diff(u(r),r) = -.5407662502563756, g(r) = \+ .8469292078366650e-1, s(r) = 181.8888747278383, h(r) = 3.4804133718493 84]" }}{PARA 6 "" 1 "" {TEXT -1 172 "1,26, .01, 3.98\011[r = .1e-1, u(r) = 6.705162650227232, diff(u(r),r) = -.6016023437797664, g(r) = . 7293403129360747e-1, s(r) = 296.2062334764317, h(r) = 4.74246454254839 4]" }}{PARA 6 "" 1 "" {TEXT -1 172 "1,27, .01, 5.01\011[r = .1e-1, \+ u(r) = 8.543440856233461, diff(u(r),r) = -.6210410969781103, g(r) = .5 906459921689119e-1, s(r) = 458.8108499543168, h(r) = 6.042418099721113 ]" }}{PARA 6 "" 1 "" {TEXT -1 172 "1,28, .01, 6.31\011[r = .1e-1, u (r) = 10.21157325409403, diff(u(r),r) = -.5997146144622669, g(r) = .45 16618252748696e-1, s(r) = 672.9309765804335, h(r) = 7.221951491988092] " }}{PARA 6 "" 1 "" {TEXT -1 172 "1,29, .01, 7.94\011[r = .1e-1, u( r) = 11.34137924325296, diff(u(r),r) = -.5371240060905847, g(r) = .322 6194931379967e-1, s(r) = 923.7513182210511, h(r) = 8.020724258180303] " }}{PARA 6 "" 1 "" {TEXT -1 172 "1,30, .01, 10 \011[r = .1e-1, u( r) = 11.33577201921126, diff(u(r),r) = -.4312466840976800, g(r) = .207 7750587716614e-1, s(r) = 1152.888260056122, h(r) = 8.016530482703688] " }}{PARA 6 "" 1 "" {TEXT -1 184 "2,0, .02, .01\011[r = .1e-1, u(r ) = .8672585528291723e-5, diff(u(r),r) = .8672585528291677e-3, g(r) = \+ .2771586947061775e-23, s(r) = .7810625492434026e-8, h(r) = .4697751195 166679e-13]" }}{PARA 6 "" 1 "" {TEXT -1 184 "2,1, .02, .01\011[r = .1e-1, u(r) = .1372739213446865e-4, diff(u(r),r) = .1372739213446873e -2, g(r) = .3182744267876239e-22, s(r) = .3981911365442342e-7, h(r) = \+ .8423623254719714e-13]" }}{PARA 6 "" 1 "" {TEXT -1 184 "2,2, .02, \+ .02\011[r = .1e-1, u(r) = .2138355584125718e-4, diff(u(r),r) = .213835 5584125711e-2, g(r) = .1072798341460300e-21, s(r) = .1904881633029514e -6, h(r) = .1964598262108940e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "2,3 , .02, .02\011[r = .1e-1, u(r) = .3232625826139931e-4, diff(u(r),r ) = .3232625826140031e-2, g(r) = .1233854113588930e-23, s(r) = .724662 0811490975e-6, h(r) = .2183281797890129e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "2,4, .02, .03\011[r = .1e-1, u(r) = .4715452523773268e-4, \+ diff(u(r),r) = .4715452523773616e-2, g(r) = .5651135659025188e-22, s(r ) = .4057108993177820e-5, h(r) = .2315401986873138e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "2,5, .02, .03\011[r = .1e-1, u(r) = .6646801540 268674e-4, diff(u(r),r) = .6646801540268747e-2, g(r) = .20222189957931 19e-23, s(r) = .1048759619950919e-4, h(r) = .1021280019639341e-11]" }} {PARA 6 "" 1 "" {TEXT -1 184 "2,6, .02, .04\011[r = .1e-1, u(r) = \+ .9030297695237668e-4, diff(u(r),r) = .9030297695237640e-2, g(r) = .276 5900645366332e-20, s(r) = .4304503919603097e-4, h(r) = .12503753954173 92e-11]" }}{PARA 6 "" 1 "" {TEXT -1 63 "2,7, .02, .05\011rkf45 is \+ unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 63 "2 ,8, .02, .06\011rkf45 is unable to achieve requested accuracy" }} {PARA 6 "" 1 "" {TEXT -1 184 "2,9, .02, .08\011[r = .1e-1, u(r) = \+ .1807027382775692e-3, diff(u(r),r) = .1807027382775712e-1, g(r) = .254 0803429761068e-20, s(r) = .1255239422660974e-2, h(r) = .19061969132746 20e-11]" }}{PARA 6 "" 1 "" {TEXT -1 185 "2,10, .02, .1 \011[r = .1 e-1, u(r) = .2119392777563797e-3, diff(u(r),r) = .2119392777564889e-1, g(r) = .5589290817182966e-20, s(r) = .3309787248540863e-2, h(r) = .31 22763836443020e-11]" }}{PARA 6 "" 1 "" {TEXT -1 185 "2,11, .02, .1 3\011[r = .1e-1, u(r) = .2411786196712918e-3, diff(u(r),r) = .24117861 96712141e-1, g(r) = .2273980793375409e-23, s(r) = .6737540817288643e-2 , h(r) = .4398254458689279e-11]" }}{PARA 6 "" 1 "" {TEXT -1 185 "2,12, .02, .16\011[r = .1e-1, u(r) = .2660537746238841e-3, diff(u(r),r) = .2660537746238286e-1, g(r) = .1032352506312577e-19, s(r) = .1889477 652037153e-1, h(r) = .5053818066198681e-11]" }}{PARA 6 "" 1 "" {TEXT -1 185 "2,13, .02, .2 \011[r = .1e-1, u(r) = .2838735867962014e-3, diff(u(r),r) = .2838735867964999e-1, g(r) = .1382562556366377e-23, s( r) = .3579151143276828e-1, h(r) = .8703629706111890e-11]" }}{PARA 6 " " 1 "" {TEXT -1 185 "2,14, .02, .25\011[r = .1e-1, u(r) = .2900595 143122806e-3, diff(u(r),r) = .2900595143113065e-1, g(r) = .13422911505 62808e-23, s(r) = .7637711079624633e-1, h(r) = .3569266191228357e-11] " }}{PARA 6 "" 1 "" {TEXT -1 182 "2,15, .02, .32\011[r = .1e-1, u( r) = .3152638015983630e-3, diff(u(r),r) = .3152638015992951e-1, g(r) = .3612539232571083e-19, s(r) = .1867512646524595, h(r) = .135944972792 1819e-10]" }}{PARA 6 "" 1 "" {TEXT -1 64 "2,16, .02, .4 \011rkf45 \+ is unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 64 "2,17, .02, .5 \011rkf45 is unable to achieve requested accurac y" }}{PARA 6 "" 1 "" {TEXT -1 182 "2,18, .02, .63\011[r = .1e-1, u (r) = .5707667682148087e-3, diff(u(r),r) = .5707667682096609e-1, g(r) \+ = .9006863640232977e-19, s(r) = 4.207636801783995, h(r) = .18634926115 93111e-10]" }}{PARA 6 "" 1 "" {TEXT -1 181 "2,19, .02, .79\011[r = .1e-1, u(r) = .7693209746861241e-3, diff(u(r),r) = .7693209739174957e -1, g(r) = .7223405522961710e-13, s(r) = 9.830249573264117, h(r) = .29 77797896121753e-8]" }}{PARA 6 "" 1 "" {TEXT -1 177 "2,20, .02, 1 \+ \011[r = .1e-1, u(r) = .4568803403177148e-2, diff(u(r),r) = .117304328 2689531, g(r) = .3598663255542832e-3, s(r) = 11.96907188235021, h(r) = .2445253923471183e-2]" }}{PARA 6 "" 1 "" {TEXT -1 174 "2,21, .02, \+ 1.26\011[r = .1e-1, u(r) = .3496652387343261, diff(u(r),r) = .31989443 95044949e-1, g(r) = .3327075001580149e-1, s(r) = 18.75747254944320, h( r) = .2465600627115489]" }}{PARA 6 "" 1 "" {TEXT -1 172 "2,22, .02, \+ 1.58\011[r = .1e-1, u(r) = 1.174973239874976, diff(u(r),r) = -.171961 7675888248, g(r) = .7764190205645743e-1, s(r) = 35.38294738416048, h(r ) = .8306655469475313]" }}{PARA 6 "" 1 "" {TEXT -1 172 "2,23, .02, \+ 2 \011[r = .1e-1, u(r) = 2.294152576021268, diff(u(r),r) = -.3525996 373320917, g(r) = .9813765866558258e-1, s(r) = 65.15883971431529, h(r) = 1.622570544077310]" }}{PARA 6 "" 1 "" {TEXT -1 172 "2,24, .02, 2 .51\011[r = .1e-1, u(r) = 3.678081945389726, diff(u(r),r) = -.49004784 68205415, g(r) = .9959550329491405e-1, s(r) = 114.9041143942447, h(r) \+ = 2.601583310971612]" }}{PARA 6 "" 1 "" {TEXT -1 172 "2,25, .02, 3. 16\011[r = .1e-1, u(r) = 5.304512677671427, diff(u(r),r) = -.584513547 5459736, g(r) = .9051182293035048e-1, s(r) = 193.7647374653810, h(r) = 3.751951883572842]" }}{PARA 6 "" 1 "" {TEXT -1 172 "2,26, .02, 3.9 8\011[r = .1e-1, u(r) = 7.109767417122761, diff(u(r),r) = -.6377906037 320299, g(r) = .7670796113297886e-1, s(r) = 312.2289017617274, h(r) = \+ 5.028650730672136]" }}{PARA 6 "" 1 "" {TEXT -1 172 "2,27, .02, 5.01 \011[r = .1e-1, u(r) = 8.964677770978053, diff(u(r),r) = -.65106493153 08514, g(r) = .6155657771161298e-1, s(r) = 479.8289802423005, h(r) = 6 .340349925872796]" }}{PARA 6 "" 1 "" {TEXT -1 172 "2,28, .02, 6.31 \011[r = .1e-1, u(r) = 10.64496468873539, diff(u(r),r) = -.62467464193 50504, g(r) = .4683928683075816e-1, s(r) = 699.8068103876734, h(r) = 7 .528465372542343]" }}{PARA 6 "" 1 "" {TEXT -1 172 "2,29, .02, 7.94 \011[r = .1e-1, u(r) = 11.78238637403267, diff(u(r),r) = -.55786854428 23650, g(r) = .3339759785730995e-1, s(r) = 957.3753904695957, h(r) = 8 .332612872589072]" }}{PARA 6 "" 1 "" {TEXT -1 172 "2,30, .02, 10 \+ \011[r = .1e-1, u(r) = 11.77960845299703, diff(u(r),r) = -.44840094677 33225, g(r) = .2154882289814898e-1, s(r) = 1194.218770488753, h(r) = 8 .330410935553868]" }}{PARA 6 "" 1 "" {TEXT -1 184 "3,0, .02, .01 \011[r = .1e-1, u(r) = .1093470165092638e-4, diff(u(r),r) = .109347016 5092635e-2, g(r) = .4748800223264612e-22, s(r) = .1463345657427654e-7, h(r) = .5984736908661417e-13]" }}{PARA 6 "" 1 "" {TEXT -1 184 "3,1, \+ .02, .01\011[r = .1e-1, u(r) = .1728656472234394e-4, diff(u(r),r) = .1728656472234395e-2, g(r) = .5187363269418210e-22, s(r) = .653885314 2379796e-7, h(r) = .6438729531655112e-13]" }}{PARA 6 "" 1 "" {TEXT -1 184 "3,2, .02, .02\011[r = .1e-1, u(r) = .2693566244341017e-4, dif f(u(r),r) = .2693566244341080e-2, g(r) = .1538060123899144e-21, s(r) = .3082966217406839e-6, h(r) = .1802411933244297e-12]" }}{PARA 6 "" 1 " " {TEXT -1 184 "3,3, .02, .02\011[r = .1e-1, u(r) = .4075699578371 820e-4, diff(u(r),r) = .4075699578371783e-2, g(r) = .9492281280619235e -21, s(r) = .1316917491743972e-5, h(r) = .4952095873769986e-12]" }} {PARA 6 "" 1 "" {TEXT -1 184 "3,4, .02, .03\011[r = .1e-1, u(r) = \+ .5938470013539959e-4, diff(u(r),r) = .5938470013540138e-2, g(r) = .455 7587747969410e-23, s(r) = .4300781835146591e-5, h(r) = .65466792077570 28e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "3,5, .02, .03\011[r = .1e -1, u(r) = .8376556246536634e-4, diff(u(r),r) = .8376556246535988e-2, \+ g(r) = .1030031914460627e-20, s(r) = .2036092839299028e-4, h(r) = .564 6309333212454e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "3,6, .02, .04 \011[r = .1e-1, u(r) = .1137334034801029e-3, diff(u(r),r) = .113733403 4800881e-1, g(r) = .1915756454409263e-20, s(r) = .6897036278135481e-4, h(r) = .1114293100514187e-11]" }}{PARA 6 "" 1 "" {TEXT -1 184 "3,7, \+ .02, .05\011[r = .1e-1, u(r) = .1486928124774088e-3, diff(u(r),r) = .1486928124774233e-1, g(r) = .5299216313726958e-20, s(r) = .221399578 9492249e-3, h(r) = .2061183989684450e-11]" }}{PARA 6 "" 1 "" {TEXT -1 184 "3,8, .02, .06\011[r = .1e-1, u(r) = .1872719283090942e-3, dif f(u(r),r) = .1872719283090266e-1, g(r) = .4802858372486714e-20, s(r) = .6781398490517532e-3, h(r) = .2105488433657970e-11]" }}{PARA 6 "" 1 " " {TEXT -1 184 "3,9, .02, .08\011[r = .1e-1, u(r) = .2276045203271 667e-3, diff(u(r),r) = .2276045203272020e-1, g(r) = .5967575949148599e -23, s(r) = .1586933220610843e-2, h(r) = .4474426892580537e-11]" }} {PARA 6 "" 1 "" {TEXT -1 64 "3,10, .02, .1 \011rkf45 is unable to \+ achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 64 "3,11, .02 , .13\011rkf45 is unable to achieve requested accuracy" }}{PARA 6 " " 1 "" {TEXT -1 64 "3,12, .02, .16\011rkf45 is unable to achieve r equested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 64 "3,13, .02, .2 \+ \011rkf45 is unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 182 "3,14, .02, .25\011[r = .1e-1, u(r) = .36542990585020 45e-3, diff(u(r),r) = .3654299058513152e-1, g(r) = .1272006210664026e- 23, s(r) = .1123240215847396, h(r) = .1063007707781807e-10]" }}{PARA 6 "" 1 "" {TEXT -1 182 "3,15, .02, .32\011[r = .1e-1, u(r) = .3972 619034646930e-3, diff(u(r),r) = .3972619034648645e-1, g(r) = .20523606 63608407e-19, s(r) = .3070863767802662, h(r) = .8603576734626388e-11] " }}{PARA 6 "" 1 "" {TEXT -1 64 "3,16, .02, .4 \011rkf45 is unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 182 "3,17, \+ .02, .5 \011[r = .1e-1, u(r) = .5643555924326854e-3, diff(u(r),r) \+ = .5643555924396006e-1, g(r) = .1579986165069476e-21, s(r) = 2.3465518 05289360, h(r) = .9181105648464896e-11]" }}{PARA 6 "" 1 "" {TEXT -1 182 "3,18, .02, .63\011[r = .1e-1, u(r) = .7241770863288386e-3, di ff(u(r),r) = .7241770863184949e-1, g(r) = .2161314253219512e-18, s(r) \+ = 6.444518875854261, h(r) = .1624039968254838e-10]" }}{PARA 6 "" 1 "" {TEXT -1 180 "3,19, .02, .79\011[r = .1e-1, u(r) = .99224096221383 35e-3, diff(u(r),r) = .9920327431886879e-1, g(r) = .2471915125633671e- 7, s(r) = 9.727009307709503, h(r) = .2284330126676518e-5]" }}{PARA 6 " " 1 "" {TEXT -1 177 "3,20, .02, 1 \011[r = .1e-1, u(r) = .5946656 939812746e-1, diff(u(r),r) = .1280016804851586, g(r) = .74676506479155 07e-2, s(r) = 12.22956117930247, h(r) = .4111745097070726e-1]" }} {PARA 6 "" 1 "" {TEXT -1 175 "3,21, .02, 1.26\011[r = .1e-1, u(r) = .5932630581887121, diff(u(r),r) = -.4014398693120605e-1, g(r) = .5894 924409367206e-1, s(r) = 21.34437849300700, h(r) = .4189245906107818]" }}{PARA 6 "" 1 "" {TEXT -1 172 "3,22, .02, 1.58\011[r = .1e-1, u(r) = 1.479667807381375, diff(u(r),r) = -.2464145570600981, g(r) = .98432 24015583620e-1, s(r) = 39.58176487950571, h(r) = 1.046272759151244]" } }{PARA 6 "" 1 "" {TEXT -1 169 "3,23, .02, 2 \011[r = .1e-1, u(r) \+ = 2.630087774112872, diff(u(r),r) = -.4158365532277651, g(r) = .111910 3049789280, s(r) = 71.32134278542509, h(r) = 1.860257831075436]" }} {PARA 6 "" 1 "" {TEXT -1 169 "3,24, .02, 2.51\011[r = .1e-1, u(r) = 4.040304695617469, diff(u(r),r) = -.5423246105301903, g(r) = .1083891 461307945, s(r) = 123.6803344720250, h(r) = 2.857838362035894]" }} {PARA 6 "" 1 "" {TEXT -1 172 "3,25, .02, 3.16\011[r = .1e-1, u(r) = 5.690621457988472, diff(u(r),r) = -.6277028444403169, g(r) = .9614741 537969347e-1, s(r) = 205.9149752022535, h(r) = 4.025076585320939]" }} {PARA 6 "" 1 "" {TEXT -1 172 "3,26, .02, 3.98\011[r = .1e-1, u(r) = 7.516433799406611, diff(u(r),r) = -.6735933119881400, g(r) = .8037932 609606348e-1, s(r) = 328.5626940928854, h(r) = 5.316294076049896]" }} {PARA 6 "" 1 "" {TEXT -1 172 "3,27, .02, 5.01\011[r = .1e-1, u(r) = 9.387727934057466, diff(u(r),r) = -.6808402989117502, g(r) = .6399458 589195649e-1, s(r) = 501.1766406117953, h(r) = 6.639563465913602]" }} {PARA 6 "" 1 "" {TEXT -1 172 "3,28, .02, 6.31\011[r = .1e-1, u(r) = 11.07990072126577, diff(u(r),r) = -.6494858393394621, g(r) = .4848558 245372580e-1, s(r) = 727.0113432665180, h(r) = 7.836071170459571]" }} {PARA 6 "" 1 "" {TEXT -1 172 "3,29, .02, 7.94\011[r = .1e-1, u(r) = 12.22470906984133, diff(u(r),r) = -.5785348980437378, g(r) = .3452104 911593500e-1, s(r) = 991.3094895800688, h(r) = 8.645431587701404]" }} {PARA 6 "" 1 "" {TEXT -1 172 "3,30, .02, 10 \011[r = .1e-1, u(r) = 12.22465361425361, diff(u(r),r) = -.4655282554640049, g(r) = .2231561 442880243e-1, s(r) = 1235.829120721041, h(r) = 8.645146047822468]" }} {PARA 6 "" 1 "" {TEXT -1 185 "4,0, .03, .01\011[r = .1e-1, u(r) = \+ .1378281909441761e-4, diff(u(r),r) = .1378281909441760e-2, g(r) = .733 0903242343580e-23, s(r) = .1975670510305350e-7, h(r) = -.5319004900947 387e-13]" }}{PARA 6 "" 1 "" {TEXT -1 184 "4,1, .03, .01\011[r = .1 e-1, u(r) = .2188217894186235e-4, diff(u(r),r) = .2188217894186236e-2, g(r) = .2112523584030302e-21, s(r) = .1065247045018254e-6, h(r) = .17 22307583059075e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "4,2, .03, .02 \011[r = .1e-1, u(r) = .3392468352116780e-4, diff(u(r),r) = .339246835 2116750e-2, g(r) = .3068449081246426e-21, s(r) = .4803858224477697e-6, h(r) = .2300499031979636e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "4,3, \+ .03, .02\011[r = .1e-1, u(r) = .5136590663947546e-4, diff(u(r),r) = .5136590663947532e-2, g(r) = .6852912475279298e-21, s(r) = .210404366 1186921e-5, h(r) = .3289652826661705e-12]" }}{PARA 6 "" 1 "" {TEXT -1 63 "4,4, .03, .03\011rkf45 is unable to achieve requested accuracy " }}{PARA 6 "" 1 "" {TEXT -1 184 "4,5, .03, .03\011[r = .1e-1, u(r ) = .1055448524271628e-3, diff(u(r),r) = .1055448524271690e-1, g(r) = \+ .3106964173178335e-20, s(r) = .3019779053639276e-4, h(r) = .1129979785 807100e-11]" }}{PARA 6 "" 1 "" {TEXT -1 184 "4,6, .03, .04\011[r = .1e-1, u(r) = .1432422092912654e-3, diff(u(r),r) = .1432422092912823e -1, g(r) = .3911980579937248e-22, s(r) = .9002268424690301e-4, h(r) = \+ .2591924689941247e-11]" }}{PARA 6 "" 1 "" {TEXT -1 63 "4,7, .03, . 05\011rkf45 is unable to achieve requested accuracy" }}{PARA 6 "" 1 " " {TEXT -1 184 "4,8, .03, .06\011[r = .1e-1, u(r) = .2358973051182 019e-3, diff(u(r),r) = .2358973051181668e-1, g(r) = .6100127788216126e -21, s(r) = .8680586279845183e-3, h(r) = .5592794312121210e-11]" }} {PARA 6 "" 1 "" {TEXT -1 184 "4,9, .03, .08\011[r = .1e-1, u(r) = \+ .2866807304670890e-3, diff(u(r),r) = .2866807304670122e-1, g(r) = .111 5866878420870e-20, s(r) = .3349092718154886e-2, h(r) = .22530541748288 10e-11]" }}{PARA 6 "" 1 "" {TEXT -1 64 "4,10, .03, .1 \011rkf45 is unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 185 "4,11, .03, .13\011[r = .1e-1, u(r) = .3826269070943560e-3, diff(u (r),r) = .3826269070940080e-1, g(r) = .3133877268298464e-19, s(r) = .1 946040742969548e-1, h(r) = .7330926186069802e-11]" }}{PARA 6 "" 1 "" {TEXT -1 185 "4,12, .03, .16\011[r = .1e-1, u(r) = .42216493594693 20e-3, diff(u(r),r) = .4221649359460768e-1, g(r) = .5639436827270292e- 19, s(r) = .4421071073902377e-1, h(r) = .1213487912059795e-10]" }} {PARA 6 "" 1 "" {TEXT -1 64 "4,13, .03, .2 \011rkf45 is unable to \+ achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 64 "4,14, .03 , .25\011rkf45 is unable to achieve requested accuracy" }}{PARA 6 " " 1 "" {TEXT -1 182 "4,15, .03, .32\011[r = .1e-1, u(r) = .5008831 696002410e-3, diff(u(r),r) = .5008831696006856e-1, g(r) = .27166329810 49466e-21, s(r) = .5263470419680404, h(r) = .7216051700049299e-11]" }} {PARA 6 "" 1 "" {TEXT -1 182 "4,16, .03, .4 \011[r = .1e-1, u(r) = .5886724785733645e-3, diff(u(r),r) = .5886724785652687e-1, g(r) = .12 52187473655430e-22, s(r) = 1.168310586919525, h(r) = .9862513114073365 e-11]" }}{PARA 6 "" 1 "" {TEXT -1 182 "4,17, .03, .5 \011[r = .1e- 1, u(r) = .7142625548560507e-3, diff(u(r),r) = .7142625548483407e-1, g (r) = .2267718718739490e-19, s(r) = 3.625517330949056, h(r) = .5582778 308718916e-11]" }}{PARA 6 "" 1 "" {TEXT -1 181 "4,18, .03, .63\011 [r = .1e-1, u(r) = .9237145508435564e-3, diff(u(r),r) = .9237145508113 713e-1, g(r) = .4631541621662830e-14, s(r) = 7.789622606702983, h(r) = .6386307199343366e-9]" }}{PARA 6 "" 1 "" {TEXT -1 177 "4,19, .03, \+ .79\011[r = .1e-1, u(r) = .1734898044590351e-2, diff(u(r),r) = .13117 41713828975, g(r) = .6381771832318898e-4, s(r) = 9.524736239824367, h( r) = .3383308575836338e-3]" }}{PARA 6 "" 1 "" {TEXT -1 174 "4,20, .0 3, 1 \011[r = .1e-1, u(r) = .2083203461296674, diff(u(r),r) = .8748 025778102198e-1, g(r) = .2963359398447652e-1, s(r) = 13.42570972261254 , h(r) = .1463636471154833]" }}{PARA 6 "" 1 "" {TEXT -1 172 "4,21, . 03, 1.26\011[r = .1e-1, u(r) = .8632002946648317, diff(u(r),r) = -.12 28153242360273, g(r) = .8785817159484811e-1, s(r) = 24.17497864762005, h(r) = .6099470924787158]" }}{PARA 6 "" 1 "" {TEXT -1 169 "4,22, .0 3, 1.58\011[r = .1e-1, u(r) = 1.790402971109636, diff(u(r),r) = -.321 3722606641657, g(r) = .1190862668886241, s(r) = 43.92719310828510, h(r ) = 1.266157838050413]" }}{PARA 6 "" 1 "" {TEXT -1 169 "4,23, .03, \+ 2 \011[r = .1e-1, u(r) = 2.968677362977448, diff(u(r),r) = -.4781882 310494213, g(r) = .1252214927614366, s(r) = 77.66810043076147, h(r) = \+ 2.099822673866535]" }}{PARA 6 "" 1 "" {TEXT -1 169 "4,24, .03, 2.51 \011[r = .1e-1, u(r) = 4.404821705023868, diff(u(r),r) = -.59376331347 21124, g(r) = .1168510809897513, s(r) = 132.6987240514122, h(r) = 3.11 5714975042654]" }}{PARA 6 "" 1 "" {TEXT -1 169 "4,25, .03, 3.16\011 [r = .1e-1, u(r) = 6.078974516316557, diff(u(r),r) = -.670282807365307 2, g(r) = .1015872970539133, s(r) = 218.3579110832361, h(r) = 4.299787 366073041]" }}{PARA 6 "" 1 "" {TEXT -1 172 "4,26, .03, 3.98\011[r = .1e-1, u(r) = 7.925182559940354, diff(u(r),r) = -.7089864224810919, g (r) = .8394352123628028e-1, s(r) = 345.2237536417637, h(r) = 5.6054091 87963914]" }}{PARA 6 "" 1 "" {TEXT -1 172 "4,27, .03, 5.01\011[r = \+ .1e-1, u(r) = 9.812602785165009, diff(u(r),r) = -.7103538993722717, g( r) = .6637661307081300e-1, s(r) = 522.8673230183898, h(r) = 6.94006677 0874235]" }}{PARA 6 "" 1 "" {TEXT -1 172 "4,28, .03, 6.31\011[r = . 1e-1, u(r) = 11.51637935652060, diff(u(r),r) = -.6741399352875276, g(r ) = .5010407026323340e-1, s(r) = 754.5553663218261, h(r) = 8.144767452 604198]" }}{PARA 6 "" 1 "" {TEXT -1 172 "4,29, .03, 7.94\011[r = .1 e-1, u(r) = 12.66833124234201, diff(u(r),r) = -.5991174147684096, g(r) = .3563175993713803e-1, s(r) = 1025.561615071498, h(r) = 8.9591690127 85747]" }}{PARA 6 "" 1 "" {TEXT -1 172 "4,30, .03, 10 \011[r = .1e -1, u(r) = 12.67087182205744, diff(u(r),r) = -.4826242312763215, g(r) \+ = .2307755915121740e-1, s(r) = 1277.723840239003, h(r) = 8.96071057833 9519]" }}{PARA 6 "" 1 "" {TEXT -1 63 "5,0, .03, .01\011rkf45 is un able to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 63 "5,1 , .03, .01\011rkf45 is unable to achieve requested accuracy" }} {PARA 6 "" 1 "" {TEXT -1 184 "5,2, .03, .02\011[r = .1e-1, u(r) = \+ .4272355796332512e-4, diff(u(r),r) = .4272355796332475e-2, g(r) = .200 2880211258353e-22, s(r) = .6231791447704547e-6, h(r) = .40930880508929 05e-12]" }}{PARA 6 "" 1 "" {TEXT -1 63 "5,3, .03, .02\011rkf45 is \+ unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 184 " 5,4, .03, .03\011[r = .1e-1, u(r) = .9450247084956908e-4, diff(u(r ),r) = .9450247084956611e-2, g(r) = .2323028177658916e-20, s(r) = .125 9945040958969e-4, h(r) = .8486837008347373e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "5,5, .03, .03\011[r = .1e-1, u(r) = .133091120245591 0e-3, diff(u(r),r) = .1330911202456006e-1, g(r) = .5003836406496021e-2 0, s(r) = .4697201969234863e-4, h(r) = .1559647566941865e-11]" }} {PARA 6 "" 1 "" {TEXT -1 184 "5,6, .03, .04\011[r = .1e-1, u(r) = \+ .1804865400488020e-3, diff(u(r),r) = .1804865400487935e-1, g(r) = .528 3619273647856e-20, s(r) = .1690264155284077e-3, h(r) = .16378560477384 32e-11]" }}{PARA 6 "" 1 "" {TEXT -1 63 "5,7, .03, .05\011rkf45 is \+ unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 63 "5 ,8, .03, .06\011rkf45 is unable to achieve requested accuracy" }} {PARA 6 "" 1 "" {TEXT -1 184 "5,9, .03, .08\011[r = .1e-1, u(r) = \+ .3611122511796778e-3, diff(u(r),r) = .3611122511795922e-1, g(r) = .461 8940201614941e-19, s(r) = .4470862653903953e-2, h(r) = .78716591014070 95e-11]" }}{PARA 6 "" 1 "" {TEXT -1 64 "5,10, .03, .1 \011rkf45 is unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 185 "5,11, .03, .13\011[r = .1e-1, u(r) = .4820825839463621e-3, diff(u (r),r) = .4820825839463729e-1, g(r) = .1436894387437008e-19, s(r) = .3 351328523213162e-1, h(r) = .4896318019554670e-11]" }}{PARA 6 "" 1 "" {TEXT -1 185 "5,12, .03, .16\011[r = .1e-1, u(r) = .53201729549355 88e-3, diff(u(r),r) = .5320172954932337e-1, g(r) = .3324644943739514e- 21, s(r) = .6014375087304423e-1, h(r) = .1015632066311362e-10]" }} {PARA 6 "" 1 "" {TEXT -1 182 "5,13, .03, .2 \011[r = .1e-1, u(r) = .5680435635373569e-3, diff(u(r),r) = .5680435635371608e-1, g(r) = .11 53672216422447e-18, s(r) = .1502885561888448, h(r) = .1862825037866997 e-10]" }}{PARA 6 "" 1 "" {TEXT -1 182 "5,14, .03, .25\011[r = .1e- 1, u(r) = .5806898739439917e-3, diff(u(r),r) = .5806898739472444e-1, g (r) = .3524022402259955e-20, s(r) = .3909225208038891, h(r) = .6978189 095986275e-11]" }}{PARA 6 "" 1 "" {TEXT -1 182 "5,15, .03, .32\011 [r = .1e-1, u(r) = .6320500130534430e-3, diff(u(r),r) = .6320500130486 070e-1, g(r) = .5517026832334540e-19, s(r) = .7293559861710257, h(r) = .1214073038418565e-10]" }}{PARA 6 "" 1 "" {TEXT -1 182 "5,16, .03, \+ .4 \011[r = .1e-1, u(r) = .7442531272714029e-3, diff(u(r),r) = .7442 531272688281e-1, g(r) = .8098046672060074e-22, s(r) = 1.66592559298195 9, h(r) = .3452429118405210e-10]" }}{PARA 6 "" 1 "" {TEXT -1 182 "5,17 , .03, .5 \011[r = .1e-1, u(r) = .9070518182256390e-3, diff(u(r),r ) = .9070518182190414e-1, g(r) = .2327915240465643e-20, s(r) = 4.71558 1369287642, h(r) = .3240736141326333e-10]" }}{PARA 6 "" 1 "" {TEXT -1 177 "5,18, .03, .63\011[r = .1e-1, u(r) = .1190228427902545e-2, di ff(u(r),r) = .1190195774763973, g(r) = .5849565521331625e-8, s(r) = 7. 696805790755993, h(r) = .9358288945214409e-6]" }}{PARA 6 "" 1 "" {TEXT -1 177 "5,19, .03, .79\011[r = .1e-1, u(r) = .26741432719953 34e-1, diff(u(r),r) = .1626564823447051, g(r) = .4736137330638903e-2, \+ s(r) = 9.396580174079684, h(r) = .1778778519182667e-1]" }}{PARA 6 "" 1 "" {TEXT -1 174 "5,20, .03, 1 \011[r = .1e-1, u(r) = .423297484 3897446, diff(u(r),r) = .1042097896631084e-1, g(r) = .6409803156832472 e-1, s(r) = 15.13358311952154, h(r) = .2984639888281796]" }}{PARA 6 " " 1 "" {TEXT -1 169 "5,21, .03, 1.26\011[r = .1e-1, u(r) = 1.146710 962092705, diff(u(r),r) = -.2100137286724598, g(r) = .1179786856664502 , s(r) = 27.15965617641626, h(r) = .8105871601805889]" }}{PARA 6 "" 1 "" {TEXT -1 169 "5,22, .03, 1.58\011[r = .1e-1, u(r) = 2.1045144692 72960, diff(u(r),r) = -.3955691910240191, g(r) = .1391544125053501, s( r) = 48.41932933283615, h(r) = 1.488433919461811]" }}{PARA 6 "" 1 "" {TEXT -1 169 "5,23, .03, 2 \011[r = .1e-1, u(r) = 3.3094452844442 73, diff(u(r),r) = -.5393369162793495, g(r) = .1379622080350195, s(r) \+ = 84.21759465936341, h(r) = 2.340927587972766]" }}{PARA 6 "" 1 "" {TEXT -1 169 "5,24, .03, 2.51\011[r = .1e-1, u(r) = 4.7716120279047 04, diff(u(r),r) = -.6442641767778778, g(r) = .1249511130623982, s(r) \+ = 141.9803235455028, h(r) = 3.375198029808149]" }}{PARA 6 "" 1 "" {TEXT -1 169 "5,25, .03, 3.16\011[r = .1e-1, u(r) = 6.4696224435140 36, diff(u(r),r) = -.7122134619348672, g(r) = .1068216894684538, s(r) \+ = 231.1129859510631, h(r) = 4.576119868748306]" }}{PARA 6 "" 1 "" {TEXT -1 172 "5,26, .03, 3.98\011[r = .1e-1, u(r) = 8.3360557419746 54, diff(u(r),r) = -.7439500460820864, g(r) = .8739676319496123e-1, s( r) = 362.2288310609915, h(r) = 5.896025732751641]" }}{PARA 6 "" 1 "" {TEXT -1 172 "5,27, .03, 5.01\011[r = .1e-1, u(r) = 10.239324671088 48, diff(u(r),r) = -.7395941538505133, g(r) = .6870092556464409e-1, s( r) = 544.9149230523980, h(r) = 7.241875608287903]" }}{PARA 6 "" 1 "" {TEXT -1 172 "5,28, .03, 6.31\011[r = .1e-1, u(r) = 11.954405434360 58, diff(u(r),r) = -.6986294539584676, g(r) = .5169385045543099e-1, s( r) = 782.4499996507262, h(r) = 8.454557620813938]" }}{PARA 6 "" 1 "" {TEXT -1 172 "5,29, .03, 7.94\011[r = .1e-1, u(r) = 13.113242190912 91, diff(u(r),r) = -.6196108672519265, g(r) = .3672922582582563e-1, s( r) = 1060.140104381227, h(r) = 9.273817567819323]" }}{PARA 6 "" 1 "" {TEXT -1 172 "5,30, .03, 10 \011[r = .1e-1, u(r) = 13.118233067584 22, diff(u(r),r) = -.4996847908472027, g(r) = .2383435394014599e-1, s( r) = 1319.907915942140, h(r) = 9.277083297438901]" }}{PARA 6 "" 1 "" {TEXT -1 184 "6,0, .04, .01\011[r = .1e-1, u(r) = .218942515570120 9e-4, diff(u(r),r) = .2189425155701223e-2, g(r) = .2756452385058073e-2 1, s(r) = .5749674469486161e-7, h(r) = .1674447387675447e-12]" }} {PARA 6 "" 1 "" {TEXT -1 184 "6,1, .04, .01\011[r = .1e-1, u(r) = \+ .3479924687144214e-4, diff(u(r),r) = .3479924687144183e-2, g(r) = .618 7118510640521e-22, s(r) = .2787638877100740e-6, h(r) = .87136206179130 24e-13]" }}{PARA 6 "" 1 "" {TEXT -1 184 "6,2, .04, .02\011[r = .1e -1, u(r) = .5379991793774658e-4, diff(u(r),r) = .5379991793774287e-2, \+ g(r) = .1369926279888317e-21, s(r) = .1559984920601579e-5, h(r) = .209 4332257243461e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "6,3, .04, .02 \011[r = .1e-1, u(r) = .8152569740348558e-4, diff(u(r),r) = .815256974 0348644e-2, g(r) = .2579334984208728e-20, s(r) = .4876747981228233e-5, h(r) = .9171230673667529e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "6,4, \+ .04, .03\011[r = .1e-1, u(r) = .1191871235876572e-3, diff(u(r),r) = .1191871235876640e-1, g(r) = .1404234064908699e-20, s(r) = .212747153 5743902e-4, h(r) = .5883946491624541e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "6,5, .04, .03\011[r = .1e-1, u(r) = .1676289189606084e-3, dif f(u(r),r) = .1676289189606175e-1, g(r) = .1503336696998180e-19, s(r) = .7271380935072284e-4, h(r) = .2922419086270994e-11]" }}{PARA 6 "" 1 " " {TEXT -1 184 "6,6, .04, .04\011[r = .1e-1, u(r) = .2275476415078 564e-3, diff(u(r),r) = .2275476415078754e-1, g(r) = .1179953561990930e -19, s(r) = .2535151835905940e-3, h(r) = .2888761663937580e-11]" }} {PARA 6 "" 1 "" {TEXT -1 184 "6,7, .04, .05\011[r = .1e-1, u(r) = \+ .2974064980403225e-3, diff(u(r),r) = .2974064980403458e-1, g(r) = .207 5762234127404e-19, s(r) = .8441794756384630e-3, h(r) = .41584655016320 22e-11]" }}{PARA 6 "" 1 "" {TEXT -1 63 "6,8, .04, .06\011rkf45 is \+ unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 184 " 6,9, .04, .08\011[r = .1e-1, u(r) = .4550000970535891e-3, diff(u(r ),r) = .4550000970537507e-1, g(r) = .5693191235071905e-22, s(r) = .599 6854666394213e-2, h(r) = .7456393204293561e-11]" }}{PARA 6 "" 1 "" {TEXT -1 185 "6,10, .04, .1 \011[r = .1e-1, u(r) = .53434827821665 66e-3, diff(u(r),r) = .5343482782159441e-1, g(r) = .1812954142613739e- 19, s(r) = .2076966006069821e-1, h(r) = .4733624632154508e-11]" }} {PARA 6 "" 1 "" {TEXT -1 185 "6,11, .04, .13\011[r = .1e-1, u(r) = .6081506628368892e-3, diff(u(r),r) = .6081506628376529e-1, g(r) = .11 46621169163603e-21, s(r) = .4407699905659870e-1, h(r) = .5188545496526 668e-11]" }}{PARA 6 "" 1 "" {TEXT -1 182 "6,12, .04, .16\011[r = . 1e-1, u(r) = .6711552316823681e-3, diff(u(r),r) = .6711552316818646e-1 , g(r) = .7191063920467508e-19, s(r) = .1080393250969379, h(r) = .1287 940264628668e-10]" }}{PARA 6 "" 1 "" {TEXT -1 182 "6,13, .04, .2 \+ \011[r = .1e-1, u(r) = .7165932466968842e-3, diff(u(r),r) = .716593246 6952624e-1, g(r) = .4527312651193344e-21, s(r) = .2070877461709446, h( r) = .2122616279613819e-10]" }}{PARA 6 "" 1 "" {TEXT -1 182 "6,14, . 04, .25\011[r = .1e-1, u(r) = .7330000829741389e-3, diff(u(r),r) = . 7330000829738166e-1, g(r) = .2284374846749349e-18, s(r) = .46737578835 22022, h(r) = .2873270019785963e-10]" }}{PARA 6 "" 1 "" {TEXT -1 182 " 6,15, .04, .32\011[r = .1e-1, u(r) = .7987414752475806e-3, diff(u( r),r) = .7987414752438309e-1, g(r) = .1474243865558586e-18, s(r) = 1.0 87663924520109, h(r) = .2225743680975343e-10]" }}{PARA 6 "" 1 "" {TEXT -1 182 "6,16, .04, .4 \011[r = .1e-1, u(r) = .94340261899062 60e-3, diff(u(r),r) = .9434026189801309e-1, g(r) = .2886403877245026e- 18, s(r) = 2.823658805296996, h(r) = .2790031066305585e-10]" }}{PARA 6 "" 1 "" {TEXT -1 178 "6,17, .04, .5 \011[r = .1e-1, u(r) = .1158 765741417652e-2, diff(u(r),r) = .1158765741391783, g(r) = .58227644007 89523e-14, s(r) = 6.151998337666356, h(r) = .6340534681465433e-9]" }} {PARA 6 "" 1 "" {TEXT -1 177 "6,18, .04, .63\011[r = .1e-1, u(r) = .1723494408625955e-2, diff(u(r),r) = .1570131736584356, g(r) = .34843 88922037927e-4, s(r) = 7.519732785854732, h(r) = .1461708346077393e-3] " }}{PARA 6 "" 1 "" {TEXT -1 171 "6,19, .04, .79\011[r = .1e-1, u( r) = .1434209898211053, diff(u(r),r) = .1337282828154529, g(r) = .3069 225984651080e-1, s(r) = 9.999867361254569, h(r) = .1002029622380466]" }}{PARA 6 "" 1 "" {TEXT -1 172 "6,20, .04, 1 \011[r = .1e-1, u(r) = .6731340642142041, diff(u(r),r) = -.8538908221259101e-1, g(r) = .10 52900386624508, s(r) = 17.08570049089538, h(r) = .4752696494989166]" } }{PARA 6 "" 1 "" {TEXT -1 169 "6,21, .04, 1.26\011[r = .1e-1, u(r) \+ = 1.436364597407883, diff(u(r),r) = -.2979096596677834, g(r) = .147863 1309300273, s(r) = 30.26676006102186, h(r) = 1.015582475770917]" }} {PARA 6 "" 1 "" {TEXT -1 169 "6,22, .04, 1.58\011[r = .1e-1, u(r) = 2.420615007912802, diff(u(r),r) = -.4681758289500844, g(r) = .1583150 751772899, s(r) = 53.07255859407464, h(r) = 1.712118002070355]" }} {PARA 6 "" 1 "" {TEXT -1 169 "6,23, .04, 2 \011[r = .1e-1, u(r) = 3.652256060694912, diff(u(r),r) = -.5990673696503582, g(r) = .1500533 433221615, s(r) = 90.99285002333535, h(r) = 2.583476125792734]" }} {PARA 6 "" 1 "" {TEXT -1 169 "6,24, .04, 2.51\011[r = .1e-1, u(r) = 5.140760169644180, diff(u(r),r) = -.6937562324661329, g(r) = .1326669 616350808, s(r) = 151.5479443755198, h(r) = 3.636347032755538]" }} {PARA 6 "" 1 "" {TEXT -1 169 "6,25, .04, 3.16\011[r = .1e-1, u(r) = 6.862654224302296, diff(u(r),r) = -.7534643732034035, g(r) = .1118431 504274968, s(r) = 244.2004714212587, h(r) = 4.854136906112563]" }} {PARA 6 "" 1 "" {TEXT -1 172 "6,26, .04, 3.98\011[r = .1e-1, u(r) = 8.749112182557482, diff(u(r),r) = -.7784679220877569, g(r) = .9073602 046929699e-1, s(r) = 379.5951481890247, h(r) = 6.188185260108917]" }} {PARA 6 "" 1 "" {TEXT -1 172 "6,27, .04, 5.01\011[r = .1e-1, u(r) = 10.66792489779171, diff(u(r),r) = -.7685510272946513, g(r) = .7096604 820661212e-1, s(r) = 567.3336634391045, h(r) = 7.545012084393249]" }} {PARA 6 "" 1 "" {TEXT -1 172 "6,28, .04, 6.31\011[r = .1e-1, u(r) = 12.39398964362005, diff(u(r),r) = -.7229476467215051, g(r) = .5325411 715400277e-1, s(r) = 810.7066428086077, h(r) = 8.765449214492824]" }} {PARA 6 "" 1 "" {TEXT -1 172 "6,29, .04, 7.94\011[r = .1e-1, u(r) = 13.55943590107824, diff(u(r),r) = -.6400104165853285, g(r) = .3781297 878549091e-1, s(r) = 1095.053587275447, h(r) = 9.589372987314619]" }} {PARA 6 "" 1 "" {TEXT -1 172 "6,30, .04, 10 \011[r = .1e-1, u(r) = 13.56671236083179, diff(u(r),r) = -.5167061184539605, g(r) = .2458571 258370746e-1, s(r) = 1362.386739340246, h(r) = 9.594246524952545]" }} {PARA 6 "" 1 "" {TEXT -1 63 "7,0, .05, .01\011rkf45 is unable to a chieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 184 "7,1, .05, .01\011[r = .1e-1, u(r) = .4394190286293454e-4, diff(u(r),r) = .439 4190286293459e-2, g(r) = .4646595001490739e-21, s(r) = .44646234059083 61e-6, h(r) = .1958712196711826e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 " 7,2, .05, .02\011[r = .1e-1, u(r) = .6818936622061484e-4, diff(u(r ),r) = .6818936622061455e-2, g(r) = .6650604692654442e-22, s(r) = .156 9247448484283e-5, h(r) = .7085228398119206e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "7,3, .05, .02\011[r = .1e-1, u(r) = .102683463302911 7e-3, diff(u(r),r) = .1026834633029121e-1, g(r) = .4141568125114545e-2 0, s(r) = .7717945962294066e-5, h(r) = .9559840596476351e-12]" }} {PARA 6 "" 1 "" {TEXT -1 184 "7,4, .05, .03\011[r = .1e-1, u(r) = \+ .1502519946843005e-3, diff(u(r),r) = .1502519946842977e-1, g(r) = .467 9338486129452e-20, s(r) = .3299600493458836e-4, h(r) = .11389166355372 87e-11]" }}{PARA 6 "" 1 "" {TEXT -1 184 "7,5, .05, .03\011[r = .1e -1, u(r) = .2111194657853118e-3, diff(u(r),r) = .2111194657853238e-1, \+ g(r) = .5633868265396975e-20, s(r) = .1193198573944930e-3, h(r) = .151 5235996255325e-11]" }}{PARA 6 "" 1 "" {TEXT -1 63 "7,6, .05, .04 \011rkf45 is unable to achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 184 "7,7, .05, .05\011[r = .1e-1, u(r) = .374693246023657 9e-3, diff(u(r),r) = .3746932460236781e-1, g(r) = .5250818443968471e-1 9, s(r) = .1259469151252457e-2, h(r) = .7160934176286678e-11]" }} {PARA 6 "" 1 "" {TEXT -1 63 "7,8, .05, .06\011rkf45 is unable to a chieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 184 "7,9, .05, .08\011[r = .1e-1, u(r) = .5736692589962941e-3, diff(u(r),r) = .573 6692589961612e-1, g(r) = .4936140159305292e-19, s(r) = .11254765502496 09e-1, h(r) = .7621627416052641e-11]" }}{PARA 6 "" 1 "" {TEXT -1 64 "7 ,10, .05, .1 \011rkf45 is unable to achieve requested accuracy" }} {PARA 6 "" 1 "" {TEXT -1 64 "7,11, .05, .13\011rkf45 is unable to \+ achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 182 "7,12, .0 5, .16\011[r = .1e-1, u(r) = .8471042524534370e-3, diff(u(r),r) = .8 471042524542219e-1, g(r) = .3052512070448725e-19, s(r) = .194774054574 4165, h(r) = .6526618812544636e-11]" }}{PARA 6 "" 1 "" {TEXT -1 182 "7 ,13, .05, .2 \011[r = .1e-1, u(r) = .9053315725667797e-3, diff(u(r ),r) = .9053315725702901e-1, g(r) = .2098053529325428e-22, s(r) = .351 0612990080518, h(r) = .7551694792786063e-11]" }}{PARA 6 "" 1 "" {TEXT -1 64 "7,14, .05, .25\011rkf45 is unable to achieve requested accu racy" }}{PARA 6 "" 1 "" {TEXT -1 179 "7,15, .05, .32\011[r = .1e-1 , u(r) = .1011649815578948e-2, diff(u(r),r) = .1011649815574464, g(r) \+ = .8542866210519359e-22, s(r) = 1.532647932487639, h(r) = .23372090668 46644e-10]" }}{PARA 6 "" 1 "" {TEXT -1 179 "7,16, .05, .4 \011[r = .1e-1, u(r) = .1201241048502322e-2, diff(u(r),r) = .1201241048493421, g(r) = .7365418825601185e-22, s(r) = 4.413821990951036, h(r) = .57278 06596923029e-11]" }}{PARA 6 "" 1 "" {TEXT -1 177 "7,17, .05, .5 \+ \011[r = .1e-1, u(r) = .1497213964079827e-2, diff(u(r),r) = .149718123 6822592, g(r) = .9204822780750735e-8, s(r) = 6.054689968886474, h(r) = .1040563520804042e-5]" }}{PARA 6 "" 1 "" {TEXT -1 177 "7,18, .05, \+ .63\011[r = .1e-1, u(r) = .1926245844879812e-1, diff(u(r),r) = .20161 22210357044, g(r) = .4941226152422824e-2, s(r) = 7.301190565466589, h( r) = .1224116798857277e-1]" }}{PARA 6 "" 1 "" {TEXT -1 174 "7,19, .0 5, .79\011[r = .1e-1, u(r) = .3406532387211139, diff(u(r),r) = .4689 476177281271e-1, g(r) = .7886521889313880e-1, s(r) = 11.10437987078211 , h(r) = .2397223986030004]" }}{PARA 6 "" 1 "" {TEXT -1 169 "7,20, . 05, 1 \011[r = .1e-1, u(r) = .9380166917838403, diff(u(r),r) = -.18 81272177865252, g(r) = .1486596816196608, s(r) = 19.16912047582131, h( r) = .6627462588259470]" }}{PARA 6 "" 1 "" {TEXT -1 169 "7,21, .05, \+ 1.26\011[r = .1e-1, u(r) = 1.728223450157496, diff(u(r),r) = -.384136 4157256875, g(r) = .1765159906199600, s(r) = 33.49761738195107, h(r) = 1.222143520266885]" }}{PARA 6 "" 1 "" {TEXT -1 169 "7,22, .05, 1.5 8\011[r = .1e-1, u(r) = 2.738176270184666, diff(u(r),r) = -.5386742705 602549, g(r) = .1763477317185629, s(r) = 57.91021608608248, h(r) = 1.9 36835077325089]" }}{PARA 6 "" 1 "" {TEXT -1 169 "7,23, .05, 2 \+ \011[r = .1e-1, u(r) = 3.997212033009784, diff(u(r),r) = -.65724221831 87949, g(r) = .1614405235788092, s(r) = 98.01991096225235, h(r) = 2.82 7540158659045]" }}{PARA 6 "" 1 "" {TEXT -1 169 "7,24, .05, 2.51\011 [r = .1e-1, u(r) = 5.512426640403094, diff(u(r),r) = -.742191625401594 4, g(r) = .1399831662253502, s(r) = 161.4256308812230, h(r) = 3.899275 282976523]" }}{PARA 6 "" 1 "" {TEXT -1 169 "7,25, .05, 3.16\011[r = .1e-1, u(r) = 7.258187446274670, diff(u(r),r) = -.7940131350881111, g (r) = .1166463202897589, s(r) = 257.6412416607299, h(r) = 5.1339215342 35272]" }}{PARA 6 "" 1 "" {TEXT -1 172 "7,26, .05, 3.98\011[r = .1e -1, u(r) = 9.164423720986647, diff(u(r),r) = -.8125269618956288, g(r) \+ = .9395894974305592e-1, s(r) = 397.3402831017706, h(r) = 6.48193852104 7830]" }}{PARA 6 "" 1 "" {TEXT -1 172 "7,27, .05, 5.01\011[r = .1e- 1, u(r) = 11.09844205368955, diff(u(r),r) = -.7972158739551408, g(r) = .7317074737113984e-1, s(r) = 590.1380282106065, h(r) = 7.849503458155 761]" }}{PARA 6 "" 1 "" {TEXT -1 172 "7,28, .05, 6.31\011[r = .1e-1 , u(r) = 12.83514763686362, diff(u(r),r) = -.7470884305117053, g(r) = \+ .5478415339502177e-1, s(r) = 839.3369299924963, h(r) = 9.0774532845021 98]" }}{PARA 6 "" 1 "" {TEXT -1 172 "7,29, .05, 7.94\011[r = .1e-1, u(r) = 14.00691048795009, diff(u(r),r) = -.6603115823490765, g(r) = . 3888258554887752e-1, s(r) = 1130.310950323827, h(r) = 9.90583392669660 2]" }}{PARA 6 "" 1 "" {TEXT -1 172 "7,30, .05, 10 \011[r = .1e-1, \+ u(r) = 14.01628915739033, diff(u(r),r) = -.5336846417003090, g(r) = .2 533136467198824e-1, s(r) = 1405.166060016580, h(r) = 9.912185724811957 ]" }}{PARA 6 "" 1 "" {TEXT -1 184 "8,0, .06, .01\011[r = .1e-1, u( r) = .3483162356409740e-4, diff(u(r),r) = .3483162356409749e-2, g(r) = .4741431117052499e-21, s(r) = .1420154389810480e-6, h(r) = .235549552 2329359e-12]" }}{PARA 6 "" 1 "" {TEXT -1 184 "8,1, .06, .01\011[r \+ = .1e-1, u(r) = .5536436779629405e-4, diff(u(r),r) = .5536436779629361 e-2, g(r) = .1282760494891226e-20, s(r) = .6712579744153867e-6, h(r) = .3459409970521395e-12]" }}{PARA 6 "" 1 "" {TEXT -1 63 "8,2, .06, \+ .02\011rkf45 is unable to achieve requested accuracy" }}{PARA 6 "" 1 " " {TEXT -1 184 "8,3, .06, .02\011[r = .1e-1, u(r) = .1293215427566 009e-3, diff(u(r),r) = .1293215427565980e-1, g(r) = .4664558052177272e -20, s(r) = .1248896918653873e-4, h(r) = .9460967912381319e-12]" }} {PARA 6 "" 1 "" {TEXT -1 184 "8,4, .06, .03\011[r = .1e-1, u(r) = \+ .1893513705473303e-3, diff(u(r),r) = .1893513705473340e-1, g(r) = .123 2040529543795e-19, s(r) = .4760045986156314e-4, h(r) = .22103427687073 18e-11]" }}{PARA 6 "" 1 "" {TEXT -1 184 "8,5, .06, .03\011[r = .1e -1, u(r) = .2658867111890472e-3, diff(u(r),r) = .2658867111890300e-1, \+ g(r) = .1829238190954839e-19, s(r) = .1809261810692177e-3, h(r) = .312 8314465985190e-11]" }}{PARA 6 "" 1 "" {TEXT -1 184 "8,6, .06, .04 \011[r = .1e-1, u(r) = .3619473042962166e-3, diff(u(r),r) = .361947304 2962160e-1, g(r) = .5327582543430118e-19, s(r) = .6154056628354587e-3, h(r) = .6187535342018944e-11]" }}{PARA 6 "" 1 "" {TEXT -1 184 "8,7, \+ .06, .05\011[r = .1e-1, u(r) = .4721381186955806e-3, diff(u(r),r) = .4721381186956173e-1, g(r) = .7745944468825865e-19, s(r) = .198047804 6108299e-2, h(r) = .8233630238323042e-11]" }}{PARA 6 "" 1 "" {TEXT -1 184 "8,8, .06, .06\011[r = .1e-1, u(r) = .5949672065220354e-3, dif f(u(r),r) = .5949672065221571e-1, g(r) = .1040239468871848e-20, s(r) = .6288522200191198e-2, h(r) = .5222547182500335e-11]" }}{PARA 6 "" 1 " " {TEXT -1 184 "8,9, .06, .08\011[r = .1e-1, u(r) = .7235478407635 761e-3, diff(u(r),r) = .7235478407634040e-1, g(r) = .2128286074249178e -18, s(r) = .1664550216595709e-1, h(r) = .1702682647735247e-10]" }} {PARA 6 "" 1 "" {TEXT -1 64 "8,10, .06, .1 \011rkf45 is unable to \+ achieve requested accuracy" }}{PARA 6 "" 1 "" {TEXT -1 182 "8,11, .0 6, .13\011[r = .1e-1, u(r) = .9686992940185584e-3, diff(u(r),r) = .9 686992940184971e-1, g(r) = .4506512460927456e-18, s(r) = .107732480675 7571, h(r) = .3022463690320568e-10]" }}{PARA 6 "" 1 "" {TEXT -1 64 "8, 12, .06, .16\011rkf45 is unable to achieve requested accuracy" }} {PARA 6 "" 1 "" {TEXT -1 179 "8,13, .06, .2 \011[r = .1e-1, u(r) = .1145735197854774e-2, diff(u(r),r) = .1145735197849387, g(r) = .13460 59523485562e-21, s(r) = .56