So I think
so I find solutions in the form
Am I on the right track? Is the eigenfunction correct?
Sub these back into the PDE to obtain
Also since we have
which is homogeneous.
Then we have
Since this is homogenous, we can solve by letting
but now I get a little lost.....I think I know where to go, just not exactly how to get there. Already have calculated that , which will lead to what I need to prove (I think).