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527solns7_maple

# 527solns7_maple - =x(t)^2

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Setup with(DEtools):with(plots): Problem 7.4.2 (b) Problem setup p1 := phaseportrait([diff(x(t),t)=1-y(t)^2,diff(y(t),t)=1-x (t)], [x(t),y(t)],t=-5. .10, [[x(0)=1,y(0)=0], [x(0)=1,y(0)=0.7], [x(0)=1,y(0)=1.3], [x(0)=1,y(0)=-0.5], [x(0)=1.5,y(0)=1], [x(0)=0.5,y(0)=1], [x(0)=1,y(0)=-2], [x(0)=0,y(0)=1.641783527], [x(0)=2,y(0)=1.641783527]], x=-1. .3, y=-2. .2,stepsize=.005,linecolor=[RED,RED,RED, RED,RED,RED,MAGENTA,MAGENTA,MAGENTA], color=GREEN,thickness=1): p2 := plot({1+(x-1)/sqrt(2.0),1-(x-1)/sqrt(2.0)},x=-0.2. .2.2,color=[BLUE]): Plot display({p1,p2});

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Problem 7.4.2 (k) Problem setup p3 := phaseportrait([diff(x(t),t)=x(t)^2-y(t)^2,diff(y(t),t)

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Unformatted text preview: =x(t)^2+y(t)-2], [x(t),y(t)],t=-10. .10, [[x(0)=1,y(0)=0], [x(0)=1,y(0)=0.75], [x(0)=1.5,y(0)=1], [x(0)=0.5,y(0)=1], [x(0)=0,y(0)=1], [x(0)=0,y(0)=2], [x(0)=0,y(0)=1.5], [x(0)=0,y(0)=1.4], [x(0)=-2.5,y(0)=0], [x(0)=-2.8,y(0)=0], [x(0)=0.75,y(0)=0], [x(0)=0.8,y(0)=0], [x(0)=-2,y(0)=-1.2], [x(0)=0.7,y(0)=-3], [x(0)=0,y(0)=-3.1], [x(0)=3,y(0)=2], [x(0)=3,y(0)=-1.6], [x(0)=3,y(0)=-1.1], [x(0)=-1.1,y(0)=-0.5]], x=-3. .3, y=-3. .3,stepsize=.05,linecolor=RED,color=GREEN, thickness=1); Plot display(p3);...
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527solns7_maple - =x(t)^2

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