Question: (6) Solve the given initial value problem using the method of Laplace transforms. (a) y + 6y' + 9y = 0; y(0) = -1, y'(0)

(6) Solve the given initial value problem using the method of Laplace transforms. (a) y" + 6y' + 9y = 0; y(0) = -1, y'(0) =6 (b) y' - y = t - 2; y(0) = 1, y'(0) = 0 (c) y" - 7y' + 10y = 9 cost + 7 sint; y(0) = 5, y'(0) = -4 (d) y" - Ay = 4t - 8e-2t; y(0) = 0, y'(0) = 5

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