For the eigenvalue problem d4 dx4 + ex = 0 subject to the boundary conditions (0) = 0

Chapter 5, Problem 5.5.9

(choose chapter or problem)

For the eigenvalue problem d4 dx4 + ex = 0 subject to the boundary conditions (0) = 0, (1) = 0 d dx (0) = 0, d2 dx2 (1) = 0, show that the eigenvalues are less than or equal to zero ( 0). (Dont worry; in a physical context that is exactly what is expected.) Is = 0 an eigenvalue?

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