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Consider the following initial value problem y" + 81y ={3t, 0 ≤ t ≤ 6, 18, t > 6}, y(0) = 0, y'(0) = 0
Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s).

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