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Question: Using DEplot to plot a phase portrait

Question:Using DEplot to plot a phase portrait

tom_ 184 Maple
March 05 2008
0

Hi there.

I am having a little bother plotting a phase portrait of the following system:

 

DEs := [diff(u(t),t)=-a*u(t)+v(t), diff(v(t),t)=u(t)^2/(1+u(t)^2)-v(t)];

 

where 'a' denotes any real number.  I am trying to draw the phase portrait but I have know initial conditions. 'a' must also be from -0.5..0.5.

 

Any hints/tips would be greatly appreciated.  Thanks.
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