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3. (10 marks) Consider the following S.L. eigenvalue problem, Say + Ay= 0, y(1) = y(e) = 0. Find its eigenvalues An and eigenfunctions yn

3. (10 marks) Consider the following S.L. eigenvalue problem, Say" + Ay= 0, y(1) = y(e) = 0. Find its eigenvalues An and eigenfunctions yn as well as the associated scalar product and compute (yn, Un) with respect to this scalar product

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