{VERSION 5 0 "APPLE_PPC_MAC" "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 "" 0 1 0 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 "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 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 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 49 "reverse ODE check: give solutions, find equation" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "restart;with (DEtools):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 10 "define ODE" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 106 "ode := t*(t*cos(t)-2*sin(t))*diff(u(t),t$2) + (t^2+2)*sin(t)*diff(u(t ),t) - 2*(t*sin(t)+cos(t))*u(t) = 0 ;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$odeG/,(*(%\"tG\"\"\",&*&F(F)-%$cosG6#F(F)F)*&\"\"#F)-%$sinGF.F)! \"\"F)-%%diffG6$-%\"uGF.-%\"$G6$F(F0F)F)*(,&*$)F(F0F)F)F0F)F)F1F)-F56$ F7F(F)F)*(F0F),&*&F(F)F1F)F)F,F)F)F7F)F3\"\"!" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 16 "solve without IV" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "soln := dsolve([ode],u(t)); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%/System~error,~GQ2ran~out~of~memo ry6\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "5 0 0 " 0 }{VIEWOPTS 1 1 0 3 2 1804 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }