ODE plotting in Maple ARG!

  1. 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 Im pretty sure 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
     
  2. jcsd
Know someone interested in this topic? Share a link to this question via email, Google+, Twitter, or Facebook