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The theorem on convolution of piecewise continuous function f and g over [0, co is given by: f (t ) * 8 (1) = [

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The theorem on convolution of piecewise continuous function f and g over [0, co is given by: f (t ) * 8 (1) = [ f (u). 8(t - u)du Combine the use of Laplace transform and the above theorem to solve the initial value problem: y"+4y = 6cos2t, y(0) -2, y'(0) -1

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