What are the eigenvalues and eigenfunctions for this Sturm-Liouville problem?

[angelas]

Hi everyone,
I would really appreciate if any of you can help me solve this problem:

[Sinx y']' + [Cosx+ lambda Sinx] y = 0 ; 1<x<2; y(1) = y(2) = 0


this is a regular sturm-liouville problem. I need to find the eigenvalues and eigenfunctions of this problem.

 

[siddharth]

What have you tried? Have you tried finding the Green's function?

 

[angelas]

Thanks for your reply. No I haven't. I don't know how to do that.