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(a) Without evaluating the integral, find Let T'sin(t - T)dT} (4 marks) (b) Use the Laplace Transform to solve the given initial-value problem : y

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(a) Without evaluating the integral, find Let T'sin(t - T)dT} (4 marks) (b) Use the Laplace Transform to solve the given initial-value problem : y" + 4y = 8(t - 7) + cos(2t); y(0) = 0, y'(0) = 0. (9 marks)

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