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matteoziff

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@Preben Alsholm . Actually, that is...

matteoziff 0
August 29 2012

@Preben Alsholm . Actually, that is exactly what i did in the first part of the assignment! Create a directional field after rewriting the ODE. hehe.

Now, all he wants me to do is simply attach arrows to the graph showing the trajectory of the system. Seems simple but i haven't found a way to do that  yet : (.

  ok so i need to attach arrows to...

matteoziff 0
August 28 2012

 

ok so i need to attach arrows to this sort of graph. THey should point to the correct trajectory.

> 

ode := diff(x(t),t,t)+1000*(x(t)^2-1)*diff(x(t),t)+x(t)=0:
> 

ics := x(0)=2, D(x)(0)=0:
> 

sol := dsolve({ode,ics},x(t),numeric,stiff=true,range=0..3000):
> 

odeplot(sol,[x(t),diff(x(t),t)],0..3000,refine=1);

  van der pol

 

Thanks for responding!  I think i n...

matteoziff 0
August 28 2012
0 0

Thanks for responding!  I think i need to a be a little more specific. The assignment given to me is asking me to actually type in commands so that arrows follow the trajectory of a graph without using any plotting functionality. For example, lets say i were to graph the van der Pol equation for u = 5....I would be required to attach the arrows after i had already graphed the equation.

 

Does that help?? 

PS - my comment now added to the Question, at top, is probably clearer.

Thanks for responding!  I think i n...

matteoziff 0
August 28 2012

Thanks for responding!  I think i need to a be a little more specific. The assignment given to me is asking me to actually type in commands so that arrows follow the trajectory of a graph without using any plotting functionality. For example, lets say i were to graph the van der Pol equation for u = 5....I would be required to attach the arrows after i had already graphed the equation.

 

Does that help?? 

PS - my comment now added to the Question, at top, is probably clearer.

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