{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 18 "Figure2.2.11; page" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "with(DEtools):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "de1:=diff(x(t),t)=-2*x(t)+y(t):\nde 2:=diff(y(t),t)=-x(t):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "G rid:=dirgrid=[12,12],arrows=medium,thickness=2:" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 170 "Ivps:=[[x(0)=1,y(0)=1],[x(0)=0.1,y(0)=0.1],\n [x(0)=-0.01,y(0)=-0.01],[x(0)=0,y(0)=2],[x(0)=0,y(0)=3],\n[x(0)=0,y(0) =4],[x(0)=0,y(0)=-2],[x(0)=0,y(0)=-3],\n[x(0)=0,y(0)=-4]]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "opts:=color=black,linecolor=red,ste psize=0.05:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 95 "Rectangle:=t =-10..10,x=-5..5,y=-5..5,\ntitle=\"Phase portrait Ex 2.2.12, degenerat e stable node\":" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "DEplot( [de1,de2],[x(t),y(t)],Rectangle,Ivps,Grid,opts);" }}}}{MARK "8" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }