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

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

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