3. (a) Find 1. C{(32²-2)²} i. et 2 5 ii. 1. C-¹ ( ² + 3 ² -3 -2(8 - 3)²} S (b) Consider the function f(t) e²t, = t-2, tz
Posted: Fri Jul 08, 2022 5:52 am
3. (a) Find 1. C{(32²-2)²} i. et 2 5 ii. 1. C-¹ ( ² + 3 ² -3 -2(8 - 3)²} S (b) Consider the function f(t) e²t, = t-2, tz 2. (c) Solve the equation 0 < t <2 i. Write the function f(t) in the form of unit step functions. ii. Then, find the Laplace Transform of f(t). d'y dt² (8 marks) dy +3+ 2y = 8(t-1) dx (5 marks) dy by using Laplace Transform, given that y(0) = 0 and (0) (0) = 0. dt (7 marks)