14 16 points Consider the twopoint boundary value problem x0

14. (16 points) Consider the two-point boundary value problem x(0), X(5)-0 (a) (12 points) Find all positive eigenvalues and corresponding eigenfunctions of the bound- ary value problem. (b) (4 points) Is = 0 an eigenvalue of this problem? If yes, find its corresponding eigenfunc- tion. If no, briefly explain why it is not an eigenvalue

Solution

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