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(25 points) Use power series to solve the initial-value problem y + 4xy' + 8y = 0, y(0) = 0, y' (0) = 1.

(25 points) Use power series to solve the initial-value problem y" + 4xy' + 8y = 0, y(0) = 0, y' (0) = 1. Answer: y = x2n + + n=0 n=0 x2n+1

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