So I think
so I find solutions in the form
Am I on the right track? Is the eigenfunction correct?
Okay, ignore this last post. I have a different method....
Let
Then
and
Sub these back into the PDE to obtain
Choose
So
??
Also since we have
which is homogeneous.
Then we have
with .
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).