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0, t21 Suppose that the function y(t) satisfies the DE y-2y-8y = f(t), with f(t) = {sin(t), Ost and initial values y(0)=-1, y'(0) =

0, t21 Suppose that the function y(t) satisfies the DE y"-2y-8y = f(t), with f(t) = {sin(t), Ost and initial values y(0)=-1, y'(0) = 3. Find the Laplace transform of y(t).

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