Can maple be used to plot a phase portrait of this differential equation? (x,y)' = ( -2x - y , y - x^2 +x) Any light you can shed on the problem will be much appreciated. Thanks!

Is there a way to use maple to plot the vector field for the differential equation: (x,y)' = ( sin(pi*x) , xy - 1 ) ? Note (x,y)' is a vector, that would normally be written in column form. I'd really appreciate any help you can give, thank you.

> restart; with(DEtools); with(plots); > eq := diff(y(x), x) = x^2+y^2; > S := solve(eq, diff(y(x), x)); > P1 := DEplot(diff(y(x), x) = S, y(x), x = -1 .. 1, y = -1 .. 1, colour = red); > display(P1); That is what I have so far, but now I need just the slope field corresponding to the initial condition y(0)=1. Any help you can give would be very much appreciated.

I need to plot the slope field for this DE: (y'(x))^2 - 4*x*(y'(x)) + 4*y(x) = 0 I'm very new to Maple (tonight was my first time using it) and I'm not a good programmer, so any light you can shed on my problems would be much appreciated. This is what I tried: > with(DEtools); > eq := (diff(y(x), x))^2-4*x*(diff(y(x), x))+4*y(x) = 0; > DEplot(eq, y(x), x = -1 .. 1, y = -1 .. 5); And then I get this error: Error, (in DEtools/DEplot/CheckDE) unable to isolate DEs for required derivatives Thanks