Question: Question 2 Consider the initial value problem y - 4y' + 4y = f(t), y(0) = 2, y'(0) = 5. The function f(t) is defined

Question 2 Consider the initial value problem y" - 4y' + 4y = f(t), y(0) = 2, y'(0) = 5. The function f(t) is defined as f(t) = e2t-2 cos(3t - 3) u(t - 1) where u(t) is the Heaviside function. (a) Find the Laplace Transform of f. (10 marks) (b) Hence, determine the solution of the initial value problem using Laplace Transform. (20 marks)

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