Consider the eigenvalue problem (see attached) with boundary conditions y(0)=0, y(1)+y'(1)=0
- Determine the general solution
- Apply the boundary conditions to solve for the eigenvalues
- Show that the eigenvalues are all positive, there are a countably infinite number of eigenvalues, all the eigenvalues are simple roots....
this provides an example of solving for eigenvalues and then completing proofs about them.