Troubleshooting Maple 12 on y' = cos(pi*ty)

[Melawrghk]

So I'm trying to do a question in Maple and I'm beyond lost. I've used it before but a different version and Maple 12 is confusing as is the syntax.

Anyways, the question is:
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.

I figured that I have to use dsolve and I wrote:
>ode:=diff(y(t),t)=cos(pi*t*y(t)) which works fine
Then, I did
>dsolve(ode)
But it doesn't give me an answer and just jumps to the next line. I looked at the help file but found no answers (maybe I wasn't looking hard enough).

Then I figured maybe I had to do the entire thing at once, got rid of dsolve(ode) and wrote:
>seq(dsolve(ode), t=1..4, 0.2)
But Maple said: Error, invalid input: diff received 1, which is not valid for its 2nd argument.

Can anyone give me any hint as to what to do?

 

[Valkarie]

The answer to this question is:>soln:=dsolve({diff(y(t),t)=cos(pi*t*y(t))},y(t));>seq(soln,t=0..4,0.2);This will solve the differential equation and then plot the solutions of y' = cos(pi*ty) for a sequence of 21 equally distributed initial points y(0) between 0 and 4. You can also use the command plot3d to visualize the solution in 3D.

 

[oswaler]

I understand your frustration with troubleshooting software and syntax. Here are some steps you can take to troubleshoot your issue with Maple 12 and solve the question at hand:

1. Check your syntax: Make sure you are using the correct syntax for Maple 12. You can refer to the help file or online resources for guidance.

2. Verify your initial conditions: Double check that your initial conditions are correctly inputted. In this case, make sure your initial points are between 0 and 4.

3. Use the correct function: Instead of using "seq" which is used for sequences of numbers, try using "plot" or "odeplot" to plot the solutions for a range of initial conditions.

4. Use a numerical solver: If the above steps do not work, you can try using a numerical solver such as "dsolve/numeric" or "odeplot/numeric" to plot the solutions.

5. Check for updates: Make sure you have the latest version of Maple 12 and that it is up to date. Updates often fix bugs and improve performance.

6. Contact support: If you are still having trouble, you can contact Maple support for further assistance. They may be able to provide specific guidance for your issue.

I hope these steps help you solve the question and troubleshoot any issues you may be having with Maple 12. Good luck!