Question: Use the Laplace transform to solve the following initial value problem: 2 - 4y - 12y = 6(t - 4) y(0) = 0, y'(0) =

Use the Laplace transform to solve the following initial value problem: 2" - 4y - 12y = 6(t - 4) y(0) = 0, y'(0) = 0 y (t) = (Notation: write u(t-c) for the Heaviside step function uc(t ) with step at t = c.)

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