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Question: How to draw a phase curve of ODE system?

Question:How to draw a phase curve of ODE system?

Lalalaika 10 Maple
plot constant phase detools deplot
March 08 2013
0

Hey, I have a system of ODE and I can't draw it's phase curve. I tried to use DEplot and phaseportrait, but it doesn't work. Here is my system:

 dx/dt=x

dy/dt=ky              (k is a constant)

 

Here is my piece of code:

DE := [diff(x(t), t) = x(t)];

DF := [diff(y(t), t) = k*y(t)];

with(DEtools);

phaseportrait([DE, DF], [y, x], t = -5 .. 5, y = -5 .. 5, x = -5 .. 5, k = -5 .. 5, color = black, linecolor = red);

 

Can anyone help me please?
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