{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 8 "TYPE III" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "g:=k[1]*cos(beta*x)+k[2]*sin(beta*x);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gG,&*&&%\"kG6#\"\"\"F*-%$cosG6#*&% %betaGF*%\"xGF*F*F**&&F(6#\"\"#F*-%$sinGF-F*F*" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 31 "y:=A*cos(beta*x)+B*sin(beta*x);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"yG,&*&%\"AG\"\"\"-%$cosG6#*&%%betaGF(%\"xGF( F(F(*&%\"BGF(-%$sinGF+F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "y1:=diff(y,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G,&*(%\"AG \"\"\"-%$sinG6#*&%%betaGF(%\"xGF(F(F-F(!\"\"*(%\"BGF(-%$cosGF+F(F-F(F( " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "y2:=diff(y1,x);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y2G,&*(%\"AG\"\"\"-%$cosG6#*&%%beta GF(%\"xGF(F()F-\"\"#F(!\"\"*(%\"BGF(-%$sinGF+F(F/F(F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "eq:=a*y2+b*y1+c*y-g;" }}{PARA 12 " " 1 "" {XPPMATH 20 "6#>%#eqG,,*&%\"aG\"\"\",&*(%\"AGF(-%$cosG6#*&%%bet aGF(%\"xGF(F()F0\"\"#F(!\"\"*(%\"BGF(-%$sinGF.F(F2F(F4F(F(*&%\"bGF(,&* (F+F(F7F(F0F(F4*(F6F(F,F(F0F(F(F(F(*&%\"cGF(,&*&F+F(F,F(F(*&F6F(F7F(F( F(F(*&&%\"kG6#F(F(F,F(F4*&&FE6#F3F(F7F(F4" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 29 "wild1:=coeff(eq,cos(beta*x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&wild1G,**(%\"aG\"\"\"%\"AGF()%%betaG\"\"#F(!\"\"*(% \"bGF(%\"BGF(F+F(F(*&%\"cGF(F)F(F(&%\"kG6#F(F-" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 17 "collect(wild1,A);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*&,&*&%\"aG\"\"\")%%betaG\"\"#F(!\"\"%\"cGF(F(%\"AGF( F(*(%\"bGF(%\"BGF(F*F(F(&%\"kG6#F(F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "wild2:=coeff(eq,sin(beta*x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&wild2G,**(%\"aG\"\"\"%\"BGF()%%betaG\"\"#F(!\"\"*(% \"bGF(%\"AGF(F+F(F-*&%\"cGF(F)F(F(&%\"kG6#F,F-" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 17 "collect(wild2,B);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*&,&*&%\"aG\"\"\")%%betaG\"\"#F(!\"\"%\"cGF(F(%\"BGF( F(*(%\"bGF(%\"AGF(F*F(F,&%\"kG6#F+F," }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 7 "TYPE IV" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "g:=(k[2]*x ^2+k[1]*x+k[0])*exp(alpha*x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"g G*&,(*&&%\"kG6#\"\"#\"\"\")%\"xGF+F,F,*&&F)6#F,F,F.F,F,&F)6#\"\"!F,F,- %$expG6#*&%&alphaGF,F.F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "y:=(A[2]*x^2+A[1]*x+A[0])*exp(alpha*x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG*&,(*&&%\"AG6#\"\"#\"\"\")%\"xGF+F,F,*&&F)6#F,F,F .F,F,&F)6#\"\"!F,F,-%$expG6#*&%&alphaGF,F.F,F," }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 24 "y1:=simplify(diff(y,x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G*&-%$expG6#*&%&alphaG\"\"\"%\"xGF+F+,,*(\"\"#F+&% \"AG6#F/F+F,F+F+&F16#F+F+*(F*F+F0F+)F,F/F+F+*(F*F+F3F+F,F+F+*&F*F+&F16 #\"\"!F+F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "y2:=simplif y(diff(y1,x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y2G*&-%$expG6#*&% &alphaG\"\"\"%\"xGF+F+,.**\"\"%F+F*F+&%\"AG6#\"\"#F+F,F+F+*(F3F+F*F+&F 16#F+F+F+*()F*F3F+F0F+)F,F3F+F+*(F8F+F5F+F,F+F+*&F8F+&F16#\"\"!F+F+*&F 3F+F0F+F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "eq:=simplify (a*y2+b*y1+c*y-g);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#eqG*&-%$expG6 #*&%&alphaG\"\"\"%\"xGF+F+,D*,\"\"%F+%\"aGF+F*F+&%\"AG6#\"\"#F+F,F+F+* *F4F+F0F+F*F+&F26#F+F+F+**F0F+)F*F4F+F1F+)F,F4F+F+**F0F+F9F+F6F+F,F+F+ *(F0F+F9F+&F26#\"\"!F+F+*(F4F+F0F+F1F+F+**F4F+%\"bGF+F1F+F,F+F+*&FBF+F 6F+F+**FBF+F*F+F1F+F:F+F+**FBF+F*F+F6F+F,F+F+*(FBF+F*F+F=F+F+*(%\"cGF+ F1F+F:F+F+*(FHF+F6F+F,F+F+*&FHF+F=F+F+*&&%\"kGF3F+F:F+!\"\"*&&FMF7F+F, F+FN&FMF>FNF+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "wild1:=col lect(eq,x^2);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&wild1G,(*(-%$expG6 #*&%&alphaG\"\"\"%\"xGF,F,,**&%\"cGF,&%\"AG6#\"\"#F,F,&%\"kGF3!\"\"*(% \"aGF,)F+F4F,F1F,F,*(%\"bGF,F+F,F1F,F,F,)F-F4F,F,*(F'F,,.&F66#F,F7*&F0 F,&F2FAF,F,*(F " 0 "" {MPLTEXT 1 0 21 "eq1:=op([1,2],wild1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq1G,**&%\"cG\"\"\"&%\"AG6#\"\"#F (F(&%\"kGF+!\"\"*(%\"aGF()%&alphaGF,F(F)F(F(*(%\"bGF(F3F(F)F(F(" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "solve(eq1,A[2]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&&%\"kG6#\"\"#\"\"\",(%\"cGF(*&%\"aGF()%&al phaGF'F(F(*&%\"bGF(F.F(F(!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "eq2:=op([2,2],wild1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq 2G,.&%\"kG6#\"\"\"!\"\"*&%\"cGF)&%\"AGF(F)F)*(%\"bGF)%&alphaGF)F-F)F)* (\"\"#F)F0F)&F.6#F3F)F)*(%\"aGF))F1F3F)F-F)F)**\"\"%F)F7F)F1F)F4F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "solve(eq2,A[1]);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&,(&%\"kG6#\"\"\"!\"\"**\"\"%F)%\"a GF)%&alphaGF)&%\"AG6#\"\"#F)F)*(F2F)%\"bGF)F/F)F)F),(%\"cGF)*&F-F))F.F 2F)F)*&F4F)F.F)F)F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "eq 3:=op([3,2],wild1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq3G,0*&%\"c G\"\"\"&%\"AG6#\"\"!F(F(**\"\"#F(%\"aGF(%&alphaGF(&F*6#F(F(F(*(%\"bGF( F0F(F)F(F(&%\"kGF+!\"\"*(F/F()F0F.F(F)F(F(*(F.F(F/F(&F*6#F.F(F(*&F4F(F 1F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "solve(eq3,A[0]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&,***\"\"#\"\"\"%\"aGF(%&alphaGF( &%\"AG6#F(F(F(*&%\"bGF(F+F(F(&%\"kG6#\"\"!!\"\"*(F'F(F)F(&F,6#F'F(F(F( ,(%\"cGF(*&F)F()F*F'F(F(*&F/F(F*F(F(F4F4" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 7 "TYPE VI" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 63 "g:=k [1]*exp(alpha*x)*cos(beta*x)+k[2]*exp(alpha*x)*sin(beta*x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gG,&*(&%\"kG6#\"\"\"F*-%$expG6#*&%&alpha GF*%\"xGF*F*-%$cosG6#*&%%betaGF*F0F*F*F**(&F(6#\"\"#F*F+F*-%$sinGF3F*F *" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "y:=A*exp(alpha*x)*cos( beta*x)+B*exp(alpha*x)*sin(beta*x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%\"yG,&*(%\"AG\"\"\"-%$expG6#*&%&alphaGF(%\"xGF(F(-%$cosG6#*&%%betaG F(F.F(F(F(*(%\"BGF(F)F(-%$sinGF1F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "y1:=simplify(diff(y,x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G,$*&-%$expG6#*&%&alphaG\"\"\"%\"xGF,F,,**(%\"AGF, F+F,-%$cosG6#*&%%betaGF,F-F,F,!\"\"*(F0F,-%$sinGF3F,F5F,F,*(%\"BGF,F+F ,F8F,F6*(F;F,F1F,F5F,F6F,F6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "y2:=simplify(diff(y1,x));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#y2 G,$*&-%$expG6#*&%&alphaG\"\"\"%\"xGF,F,,.*(%\"AGF,)F+\"\"#F,-%$cosG6#* &%%betaGF,F-F,F,!\"\"*,F2F,F0F,F+F,-%$sinGF5F,F7F,F,*(%\"BGF,F1F,F:F,F 8*,F2F,F=F,F+F,F3F,F7F,F8*(F0F,F3F,)F7F2F,F,*(F=F,F:F,F@F,F,F,F8" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "eq:=simplify(a*y2+b*y1+c*y-g );" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#eqG,$*&-%$expG6#*&%&alphaG\" \"\"%\"xGF,F,,>**%\"aGF,%\"AGF,)F+\"\"#F,-%$cosG6#*&%%betaGF,F-F,F,!\" \"*.F3F,F0F,F1F,F+F,-%$sinGF6F,F8F,F,**F0F,%\"BGF,F2F,F;F,F9*.F3F,F0F, F>F,F+F,F4F,F8F,F9**F0F,F1F,F4F,)F8F3F,F,**F0F,F>F,F;F,FAF,F,**%\"bGF, F1F,F+F,F4F,F9**FDF,F1F,F;F,F8F,F,**FDF,F>F,F+F,F;F,F9**FDF,F>F,F4F,F8 F,F9*(%\"cGF,F1F,F4F,F9*(FIF,F>F,F;F,F9*&&%\"kG6#F,F,F4F,F,*&&FM6#F3F, F;F,F,F,F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "eq1:=collect( eq,\{cos(beta*x),sin(beta*x)\});" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>% $eq1G,&*(-%$expG6#*&%&alphaG\"\"\"%\"xGF,F,,0*(%\"bGF,%\"AGF,F+F,!\"\" *(%\"aGF,F1F,)%%betaG\"\"#F,F,*(F0F,%\"BGF,F6F,F2*&%\"cGF,F1F,F2*,F7F, F4F,F9F,F+F,F6F,F2&%\"kG6#F,F,*(F4F,F1F,)F+F7F,F2F,-%$cosG6#*&F6F,F-F, F,F2*(F'F,,0&F>6#F7F,*,F7F,F4F,F1F,F+F,F6F,F,*(F4F,F9F,FAF,F2*(F0F,F1F ,F6F,F,*(F0F,F9F,F+F,F2*(F4F,F9F,F5F,F,*&F;F,F9F,F2F,-%$sinGFDF,F2" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "sad1:=op([1,3],eq1);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%%sad1G,0*(%\"bG\"\"\"%\"AGF(%&alphaG F(!\"\"*(%\"aGF(F)F()%%betaG\"\"#F(F(*(F'F(%\"BGF(F/F(F+*&%\"cGF(F)F(F +*,F0F(F-F(F2F(F*F(F/F(F+&%\"kG6#F(F(*(F-F(F)F()F*F0F(F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "wild1:=collect(sad1,\{A,B\});;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%&wild1G,(*&,*%\"cG!\"\"*&%\"bG\"\"\" %&alphaGF,F)*&%\"aGF,)%%betaG\"\"#F,F,*&F/F,)F-F2F,F)F,%\"AGF,F,*&,&** F2F,F/F,F-F,F1F,F)*&F+F,F1F,F)F,%\"BGF,F,&%\"kG6#F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "sad2:=op([2,3],eq1);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%%sad2G,0&%\"kG6#\"\"#\"\"\"*,F)F*%\"aGF*%\"AGF *%&alphaGF*%%betaGF*F**(F,F*%\"BGF*)F.F)F*!\"\"*(%\"bGF*F-F*F/F*F**(F5 F*F1F*F.F*F3*(F,F*F1F*)F/F)F*F**&%\"cGF*F1F*F3" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 27 "wild2:=collect(sad2,\{A,B\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&wild2G,(*&,&*&%\"bG\"\"\"%%betaGF*F***\"\"#F*% \"aGF*%&alphaGF*F+F*F*F*%\"AGF*F**&,*%\"cG!\"\"*&F)F*F/F*F4*&F.F*)F+F- F*F**&F.F*)F/F-F*F4F*%\"BGF*F*&%\"kG6#F-F*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 6 "TYPE V" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "g:=(p [1]*x+p[0])*cos(beta*x)+(q[1]*x+q[0])*sin(beta*x);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%\"gG,&*&,&*&&%\"pG6#\"\"\"F,%\"xGF,F,&F*6#\"\"!F,F, -%$cosG6#*&%%betaGF,F-F,F,F,*&,&*&&%\"qGF+F,F-F,F,&F:F/F,F,-%$sinGF3F, F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "y:=(A[1]*x+A[0])*cos( beta*x)+(B[1]*x+B[0])*sin(beta*x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%\"yG,&*&,&*&&%\"AG6#\"\"\"F,%\"xGF,F,&F*6#\"\"!F,F,-%$cosG6#*&%%beta GF,F-F,F,F,*&,&*&&%\"BGF+F,F-F,F,&F:F/F,F,-%$sinGF3F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "y1:=simplify(diff(y,x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y1G,.*&&%\"AG6#\"\"\"F*-%$cosG6#*&%%betaG F*%\"xGF*F*F***-%$sinGF-F*F/F*F'F*F0F*!\"\"*(F2F*F/F*&F(6#\"\"!F*F4*&& %\"BGF)F*F2F*F***F+F*F/F*F:F*F0F*F**(F+F*F/F*&F;F7F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "y2:=simplify(diff(y1,x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y2G,$*&%%betaG\"\"\",.*(\"\"#F(-%$sinG6#* &F'F(%\"xGF(F(&%\"AG6#F(F(F(**-%$cosGF.F(F'F(F1F(F0F(F(*(F5F(F'F(&F26# \"\"!F(F(*(F+F(F5F(&%\"BGF3F(!\"\"**F,F(F'F(F" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "eq:=simplify(a*y 2+b*y1+c*y-g);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#eqG,J*,\"\"#\"\" \"%\"aGF(%%betaGF(-%$sinG6#*&F*F(%\"xGF(F(&%\"AG6#F(F(!\"\"*,F)F()F*F' F(-%$cosGF-F(F0F(F/F(F3**F)F(F5F(F6F(&F16#\"\"!F(F3*,F'F(F)F(F*F(F6F(& %\"BGF2F(F(*,F)F(F5F(F+F(F=F(F/F(F3**F)F(F5F(F+F(&F>F:F(F3*(%\"bGF(F0F (F6F(F(*,FCF(F+F(F*F(F0F(F/F(F3**FCF(F+F(F*F(F9F(F3*(FCF(F=F(F+F(F(*,F CF(F6F(F*F(F=F(F/F(F(**FCF(F6F(F*F(FAF(F(**%\"cGF(F6F(F0F(F/F(F(*(FJF( F6F(F9F(F(**FJF(F+F(F=F(F/F(F(*(FJF(F+F(FAF(F(*(F6F(&%\"pGF2F(F/F(F3*& F6F(&FPF:F(F3*(F+F(&%\"qGF2F(F/F(F3*&F+F(&FUF:F(F3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "eq1:=collect(eq,\{sin(beta*x),cos(beta*x)\} );" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$eq1G,&*&,6**\"\"#\"\"\"%\"aGF *%%betaGF*&%\"BG6#F*F*F**(%\"bGF*F,F*&F.6#\"\"!F*F**(%\"cGF*&%\"AGF/F* %\"xGF*F**&F6F*&F8F3F*F***F1F*F,F*F-F*F9F*F**(F+F*)F,F)F*F;F*!\"\"*&&% \"pGF/F*F9F*F?&FBF3F?**F+F*F>F*F7F*F9F*F?*&F1F*F7F*F*F*-%$cosG6#*&F,F* F9F*F*F**&,6**F)F*F+F*F,F*F7F*F?*(F6F*F-F*F9F*F**&F6F*F2F*F***F1F*F,F* F7F*F9F*F?**F+F*F>F*F-F*F9F*F?*(F+F*F>F*F2F*F?&%\"qGF3F?*(F1F*F,F*F;F* F?*&F1F*F-F*F**&&FSF/F*F9F*F?F*-%$sinGFHF*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "sa d1:=op([1,1],eq1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%sad1G,6**\"\" #\"\"\"%\"aGF(%%betaGF(&%\"BG6#F(F(F(*(%\"bGF(F*F(&F,6#\"\"!F(F(*(%\"c GF(&%\"AGF-F(%\"xGF(F(*&F4F(&F6F1F(F(**F/F(F*F(F+F(F7F(F(*(F)F()F*F'F( F9F(!\"\"*&&%\"pGF-F(F7F(F=&F@F1F=**F)F(F " 0 "" {MPLTEXT 1 0 24 "wild1:=collect(sad1,x);;" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&wild1G,0*&,**&%\"cG\"\"\"&%\"AG6#F *F*F**(%\"bGF*%%betaGF*&%\"BGF-F*F*&%\"pGF-!\"\"*(%\"aGF*)F0\"\"#F*F+F *F5F*%\"xGF*F***F9F*F7F*F0F*F1F*F**(F/F*F0F*&F26#\"\"!F*F**&F)F*&F,F>F *F**(F7F*F8F*FAF*F5&F4F>F5*&F/F*F+F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "dog1:=op([1,1],wild1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%dog1G,**&%\"cG\"\"\"&%\"AG6#F(F(F(*(%\"bGF(%%betaGF(&%\"BGF+F (F(&%\"pGF+!\"\"*(%\"aGF()F.\"\"#F(F)F(F3" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "dog2:=wild1-dog1*x ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%dog2G,.**\"\"#\"\"\"%\"aGF(%%b etaGF(&%\"BG6#F(F(F(*(%\"bGF(F*F(&F,6#\"\"!F(F(*&%\"cGF(&%\"AGF1F(F(*( F)F()F*F'F(F5F(!\"\"&%\"pGF1F9*&F/F(&F6F-F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "collect(dog1,\{A[1],A[0]\});" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#,(*&,&%\"cG\"\"\"*&%\"aGF')%%betaG\"\"#F'!\"\"F'&%\"A G6#F'F'F'*(%\"bGF'F+F'&%\"BGF0F'F'&%\"pGF0F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "collect(dog2,\{A[1],A[0]\});" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#,,*&%\"bG\"\"\"&%\"AG6#F&F&F&*&,&%\"cGF&*&%\"aGF&)%%b etaG\"\"#F&!\"\"F&&F(6#\"\"!F&F&**F1F&F.F&F0F&&%\"BGF)F&F&*(F%F&F0F&&F 8F4F&F&&%\"pGF4F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "sad1:= op([2,1],eq1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%sad1G,6**\"\"#\" \"\"%\"aGF(%%betaGF(&%\"AG6#F(F(!\"\"*(%\"cGF(&%\"BGF-F(%\"xGF(F(*&F0F (&F26#\"\"!F(F(**%\"bGF(F*F(F+F(F3F(F.**F)F()F*F'F(F1F(F3F(F.*(F)F(F;F (F5F(F.&%\"qGF6F.*(F9F(F*F(&F,F6F(F.*&F9F(F1F(F(*&&F>F-F(F3F(F." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "wild1:=collect(sad1,x);;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%&wild1G,0*&,**&%\"cG\"\"\"&%\"BG6#F* F*F**(%\"bGF*%%betaGF*&%\"AGF-F*!\"\"*(%\"aGF*)F0\"\"#F*F+F*F3&%\"qGF- F3F*%\"xGF*F***F7F*F5F*F0F*F1F*F3*(F5F*F6F*&F,6#\"\"!F*F3*&F)F*F=F*F** (F/F*F0F*&F2F>F*F3*&F/F*F+F*F*&F9F>F3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "dog1:=op([1,1],wild1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%dog1G,**&%\"cG\"\"\"&%\"BG6#F(F(F(*(%\"bGF(%%betaGF(&%\"AGF+F (!\"\"*(%\"aGF()F.\"\"#F(F)F(F1&%\"qGF+F1" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "dog2:=wild1-dog1*x ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%dog2G,.**\"\"#\"\"\"%\"aGF(%%b etaGF(&%\"AG6#F(F(!\"\"*(F)F()F*F'F(&%\"BG6#\"\"!F(F.*&%\"cGF(F1F(F(*( %\"bGF(F*F(&F,F3F(F.*&F8F(&F2F-F(F(&%\"qGF3F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "collect(dog1,\{B[1],B[0]\});" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#,(*&,&%\"cG\"\"\"*&%\"aGF')%%betaG\"\"#F'!\"\"F'&%\"B G6#F'F'F'*(%\"bGF'F+F'&%\"AGF0F'F-&%\"qGF0F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "collect(dog2,\{B[1],B[0]\});" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#,,*&%\"bG\"\"\"&%\"BG6#F&F&F&*&,&%\"cGF&*&%\"aGF&)%%b etaG\"\"#F&!\"\"F&&F(6#\"\"!F&F&**F1F&F.F&F0F&&%\"AGF)F&F2*(F%F&F0F&&F 8F4F&F2&%\"qGF4F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "56 0 0" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }