# Eigenvalue proofs

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....

https://brainmass.com/math/linear-algebra/eigenvalue-proofs-229078

#### Solution Summary

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

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