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 solution provides an example of solving for eigenvalues and then completing proofs about them. THe general solution for the eigenvalue is determined.