Question

The inverse transform of the function k/(s+a) is?

(a) ke^-at u(t)

(b) ke^at u(t)

(c) ke^-at u(t-a)

(d) ke^at u(t-a)

I got this question in class test.

This interesting question is from Inverse Transforms topic in division Intoduction to the Laplace Transform of Network Theory

Answer 1

The correct choice is (b) ke^at u(t)

Best explanation: The inverse transform of the function k/(s) is k. The inverse transform of the function k/(s+a) is ke^at u(t). k/(s+a)   <—–> ke^at u(t).