Find the only real eigenvalue of the problem x²y" - Xxy' + Xy y(1) = 0, y(2) — y' (2) - = 0, 1 < x <2 = 0, and find the corresponding eigenfunction.

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Q: Consider the initial value problem d²y dy 9. +14y=4e7t2e-8t dt2 dt dy y(0) = −3, -(0) = 4 dt Write…

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