For example, should work for this situation.
Find the derivative, and second derivative so that
Now that you have that, you can plug in these functions where they are needed in the original. So, you should get
I'm sort of confused, and maybe you left out a y factor, but if this is right, then you get 0 for both coefficients.
So, assuming that you did write the original equation correctly, then the solution to the inhomogeneous part is as follows:
You can solve for using your typical method of solving for and
If you need help with the homogeneous solution, just post, and I will help you out.