{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 }{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 0 "" }}{PARA 0 "" 0 "" {TEXT -1 21 "Plots for Section 9.2" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "with(DEtools): with(plots): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 108 "SysFromClass:=[diff(x( t),t)=x(t)-(x(t))^2-x(t)*y(t),diff(y(t),t)=(1/2)*y(t)-(1/4)*(y(t))^2-( 3/4)*x(t)*y(t)];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 80 "SysProb 5:=[diff(x(t),t)=(2+x(t))*(y(t)-x(t)),diff(y(t),t)=(4-x(t))*(y(t)+x(t) )];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 90 "SysProb6:=[diff(x(t) ,t)=x(t)-(x(t))^2-x(t)*y(t),diff(y(t),t)=3*y(t)-x(t)*y(t)-2*(y(t))^2]; " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 63 "SysProb7:=[diff(x(t),t) =1-y(t),diff(y(t),t)=(x(t))^2-(y(t))^2];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 78 "SysProb9:=[diff(x(t),t)=-(x(t)-y(t))*(1-x(t)-y(t)),di ff(y(t),t)=x(t)(2+y(t))];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 172 "DEplot(SysFromClass,[x(t),y(t)],t=-2..9,[[x(0)=1,y(0)=0],[x(0)=0, y(0)=1],[x(0)=1,y(0)=2.2],[x(0)=-1,y(0)=0],[x(0)=0,y(0)=-1]],x=-1..2,y =-1..3,stepsize=0.1,linecolor=black);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 155 "DEplot(SysProb5,[x(t),y(t)],t=-2..9,[[x(0)=1,y(0)=0] ,[x(0)=0,y(0)=-1],[x(0)=1,y(0)=2.2]],x=-3..3,y=-3..3,stepsize=0.1,scal ing=constrained,linecolor=black);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 104 "DEplot(SysProb6,[x(t),y(t)],t=-2..9,[[x(0)=1/2,y(0)= 1/3]],x=-2..2,y=-1..2,stepsize=0.1,linecolor=black);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 104 "DEplot(SysProb7,[x(t),y(t)],t=-2..9,[[x( 0)=1/2,y(0)=1/3]],x=-2..2,y=-1..2,stepsize=0.1,linecolor=black);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 104 "DEplot(SysProb9,[x(t),y(t)] ,t=-2..9,[[x(0)=1/2,y(0)=1/3]],x=-3..4,y=-3..3,stepsize=0.1,linecolor= black);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "12 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }