{VERSION 5 0 "IBM INTEL LINUX" "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 "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 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 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 101 "MAPLE EXAMPLE 1: Draw a direction field for a differential eq uation, and draw some sample solutions." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "with(DEtools):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "diffeqn:=diff(y(x),x)=x^2/(1-(y(x))^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(diffeqnG/-%%diffG6$-%\"yG6#%\"xGF,*&F,\"\"#,&\"\"\"F 0*$)F)F.F0!\"\"F3" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 31 "Here's a basic direction field:" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "DEplot(di ffeqn,y(x),x=-4..4,y=-4..4);" }}{PARA 13 "" 1 "" {GLPLOT2D 427 227 227 {PLOTDATA 2 "6%-%'CURVESG6]dl7%7$$!3F!G!31w)R9%!#<$!3#[.\"=?KTYQF* 7$$!3RR7g&QF*$!3jl*=)zne`TF*7$$!3`$z78;k*zQF*$!3ofXz^[3^SF*7%7$$!3 `bc!)*>X!RPF*$!3zz;!Rd)GjQF*7$$!3y\\k.P&\\)=MF*$!3@?$)4E9rOTF*7$$!3t,o /vg*RX$F*$!3N(zdU=*[PSF*7%7$$!3)4N?c]7KL$F*$!3CUPn]_W$)QF*7$$!3kfQ1opd #)HF*$!3wdiK\\Zb;TF*7$$!3$*y1[,JNHIF*$!3+jv??cDASF*7%7$$!3\"GyHtB\">DH F*$!3pX7%RtH\\[DF*$!3Ka(eg#G0%4%F*7$$!3\\oqDLt`1EF*$!3 e(z4ZZRi+%F*7%7$$!3,ox!z*o-9DF*$!3[p/6(3D\"HRF*7$$!3B`1Y\\?b<@F*$!32I& *)G\"\\(32%F*7$$!3=nu\"Rksc=#F*$!3[ppI>ei!*RF*7%7$$!3S>7$p!3[*4#F*$!3r AJJmv*4&RF*7$$!382$zs(G***o\"F*$!3HxooLC+\\SF*7$$!3i+IE1!*RmTB0lf0SF *7$$!3f\\fm!ei&3^Fjr$!3Roy[o,c]RF*7%7$$!3delwDr^5UFjr$!3+&4m*[zP**RF*7 $$!3B-y/>H-!>*!#C$!3+0R.^?i+SF*7$$!3')*[cBrd05*!#>$!3W.#QeM@x%RF*7%7$$ \"385pg9H-!>*F[uFft7$$\"37alwDr^5UFjrF\\u7$$\"30CQbW0Z+LFjrFbu7%7$$\"3 %RPPzJq7@%FjrFfs7$$\"3TT5VH'3.U)FjrF[t7$$\"3lpCqmj,BvFjrF`t7%7$$\"3raz hLIxE%)FjrFer7$$\"3#4%H`aeei7F*F[s7$$\"3&pWG$e-bv6F*F`s7%7$$\"31&oi%Q. 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