(a) Find the Laplace transform of the function f(1) e', 0 1 1, 1, 1 (b) Use the Laplace transform to solve the given initial value problem y 6y 9y 0, subject to y(0) 1, y'(0) 4 (c) Find the following inverse Lapalce transform (d) Use the Convolution theorem to evaluate the given inverse Laplace transform 2 ss (s 1)

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(a) Find the Laplace transform of the function -{ f(1) = e', 0 <1 <1, 1, > 1. (b) Use the Laplace transform to

(a) Find the Laplace transform of the function -{ f(1) = e', 0

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