1) (i) Write (0, f(t) = { 10 sin 2t, t > T in terms of unit step function. Then find its Laplace transform. (ii) Express
Posted: Mon Jul 11, 2022 12:05 pm
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)