(i) (2s - 1)/(s^2 - 5s + 6) (ii) s/(2s - 1) (3s - 1) (iii) (2s - 3)/(s - 1) (s - 2) (s - 3)

Question

Find the inverse Laplace transforms of the following functions:

(i) (2s - 1)/(s² - 5s + 6)

(ii) s/(2s - 1) (3s - 1)

(iii) (2s - 3)/(s - 1) (s - 2) (s - 3)

Answer 1

2s – 3 = A (s – 2) (s – 3) + B (s – 1) (s – 3) + C (s – 1) (s – 2)