Question

The Laplace transform of the function e^4t + 5 is ___________

(a) \(\frac{1}{s+4} + \frac{5}{s}\)

(b) \(\frac{1}{s-4} + \frac{5}{s}\)

(c) \(\frac{1}{s-4} – \frac{5}{s}\)

(d) \(\frac{1}{s+4} – \frac{5}{s}\)

This question was addressed to me in a national level competition.

Enquiry is from Common Laplace Transforms topic in portion Laplace Transform and System Design of Signals and Systems

Answer 1

The correct option is (b) \(\frac{1}{s-4} + \frac{5}{s}\)

To elaborate: L {e^4t + 5} = \(\frac{1}{s-4} + \frac{5}{s}\).