I would just solve the characteristic equation, .
Now look at what happens for , , .
Which of those give functions that will satisfy the boundary conditions non-trivially?
Hi, I'm trying to find the eigenfunctions and eigenvalues of
with
.
First, should I write in self adjoint form? I found it is
But I don't know how to continue, all the previous examples ended in a harmonic oscillator type equation. Just a hint will be enough
Thanks.