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In one ty-graph plot the solutions of y' = cos(pi*ty) for a sequence of 21 equally distributed initial points y(0) between 0 and 4. Hint: You

may use commands such as seq, dsolve, numeric, odeplot and display.

I started off with:

>x:=diff(y(t),t)=cos(pi*t*y(t))

Then, I did:

>dsolve(x,y(t))

This just gives a blank space, which I read means maple cant find an answer.

From reading some examples online and from the hint above I think I may need to include numeric in dsolve but I cant get that to work without an initial condition.

I also know the sequence will obviously be 0..4,0.2 but then I dont understand what it means by the y(0) part.

Any help in putting this plot together is much appreciated