Using the Laplace transform and showing the details, solve y + 4y = 8t 2 if 0

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Using the Laplace transform and showing the details, solve

y" + 4y = 8t2 if 0 < t < 5 and 0 if t > 5; y(1) = 1 + cos 2, y’ (1) = 4 - 2 sin 2

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