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how to draw isocline is ODEs?

Posted on 2008-02-23 15:20 By casperyc (Maple Rating 2 145)
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suppose i have an ODE

dx/dt=x/t

how do i draw isoclines?

thanks

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gkokovidis's picture

ODE isoclines

Comment on 2008-02-23 19:28 from gkokovidis (Maple Rating 4 700)

 > restart:
> with(DEtools):
> with(plots):
> F:=DEplot(D(x)(t)=(x(t)/t),x(t),t=-0.1..0.1,x=-1..1):
> C:=contourplot((x(t)/t),t=-0.3..0.3,x=-1..1,color=blue):
> display(C,F);
 

 

Regards,
Georgios Kokovidis
Dräger Medical

 

hwever

Comment on 2008-02-24 12:09 from casperyc (Maple Rating 2 145)

thanks

 

i know i can do that this way

 

however

 

if i draw it by hand

 

i rearrange that to x/t=c ( c is constant)

then x=ct are they suppose to be straight lines??

why maple give me curly curves?

 

thanks

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