{VERSION 4 0 "IBM INTEL NT" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 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 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 20 "Figure 2.2.2; page23" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "with(DEtools):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "de1:=diff(x(t),t)=x(t)+3*y(t):\nde2 :=diff(y(t),t)=3*x(t)+y(t):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "opts:=color=black,linecolor=red,stepsize=0.05:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "Grid:=dirgrid=[12,12],arrows=medium,thickne ss=2:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 232 "Ivps:=[[x(0)=0.01 ,y(0)=-0.01],[x(0)=-0.01,y(0)=0.01],\n[x(0)=0.1,y(0)=0.1],[x(0)=-0.1,y (0)=-0.1],[x(0)=1,y(0)=0],\n[x(0)=2,y(0)=0],[x(0)=-1,y(0)=0],[x(0)=-2, y(0)=0],\n[x(0)=0,y(0)=-1],[x(0)=0,y(0)=-2],[x(0)=0,y(0)=2],\n[x(0)=0, y(0)=1]]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 88 "Rectangle:=t=- 10..10,x=-5..5,y=-5..5,\ntitle=\"Phase portrait for example 2.2.1 [sad dle]\":" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "DEplot([de1,de2] ,[x(t),y(t)],Rectangle,Ivps,Grid,opts);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "6 0 0" 38 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }