Question

Find the general solution for u_xx -u_xy - 2u_yy = sin(y).

I have the homogeneous solution, but I can't remember how to find a particular solution. Can anyone point me in the right direction?

Answer 1

Here's a better-formatted version:
\[u_{xx} - u_{xy} - 2u_{yy} = \sin(y)\]
And the homogeneous solution is:
\[f(2x+y) + f(y-x)\]