Question: I need help with this problem. 4. Consider the following boundary value problem for 3(1): (*) y e 4y' + M; = 0= 31(0) =

I need help with this problem.

4. Consider the following boundary value problem for 3(1): (*) y" e 4y' + M; = 0= 31(0) = 0, 9(1) = 0 2r sins an eigenfunction of 01:)? If it is1 compute the corresponding eigenvalue. 3. Is y = e b. Is A = 1T2 + 4 an eigenvalue of (2k)? If it is, calculate the corresponding eigenfunctions. 0. Determine all eigenvalues A satisfying A 2 50 and calculate the correspoding eigenfunctions

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