Question

Find the inverse Laplace transforms of the following functions:

(i) 1/(2s - 3)

(ii) 1/(4s + 5)

(iii) 1/(s² + 9)

(iv) s/(s² - 16)

Answer 1

(i) L^-1{1/2s - 3} = L^-1{1/2(s - 3/2)} = 1/2L^-1{1/s - 3/2} = 1/2e^3/2t.