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} = $\frac{1}{s-4} + \frac{5}{s}$.