Question: Solve y + 4y = 8(t - 7/2) sint, y(0) = 0, y'(0) = 1. Hint: Calculate the Laplace transform of the right hand side

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Solve y" + 4y = 8(t - 7/2) sint, y(0) = 0,
y" + 4y = 8(t - 7/2) sint, y(0) = 0, y'(0) = 1. Hint: Calculate the Laplace transform of the right hand side using 6(t - to)f(t) dt = f(to). -OO

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