Use the Laplace transform to solve the given initial value problem. For technical reasons, write u for the Heaviside function that turns on at c,not u (t). y"-2y'-24y=8₂(t) Y(0) = 2, y'(0) = 32 -(2s) + (2s +36) (s-6) (s+4) X (s-6) (s+4) Y(s) = y(t) =

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