1) (i) Write (0, f(t) = { 10 sin 2t, t > T in terms of unit step function. Then find its Laplace transform. (ii) Express

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1 I Write 0 F T 10 Sin 2t T T In Terms Of Unit Step Function Then Find Its Laplace Transform Ii Express 1 (171.9 KiB) Viewed 29 times

1) (i) Write (0, f(t) = { 10 sin 2t, t > T in terms of unit step function. Then find its Laplace transform. (ii) Express 0 < t < T 20 (s² + 1)(s² + 4) in partial fractions and find 20 2² } (s² + 1)(s² + 4) y"+y=f(t), where f(t) is given in part (i). (6 marks) (iii) Use the results in parts (i) and (ii), and the method of Laplace trans- form to solve the following initial value problem (4 marks) y(0) = 5, y'(0) = 0, HIGH (5 marks)