Question: Use the Laplace transform to solve the following initial value problem: y + 8y' + 25y = 8(t -5) y(0) = 0, y'(0) = 0

Use the Laplace transform to solve the following initial value problem: y" + 8y' + 25y = 8(t -5) 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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