How can I plot the solutions of a differential equation using Maple?

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OrigGan
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So I was given the following problem to do in maple:

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 can't 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 can't get that to work without an initial condition.

I also know the sequence will obviously be 0..4,0.2 but then I don't understand what it means by the y(0) part.

Any help in putting this plot together is much appreciated
 
Physics news on Phys.org
(1) In Maple write Pi not pi

(2) No solution shown, that means Maple did not find a closed-form solution. Probably there is none.

(2) The hint is in the assignment... "numeric" and "odeplot" ...