Question

If f(t) = sinhat, then its Laplace transform is?

(a) e^at

(b) s ⁄ s^2-a^2

(c) a ⁄ s^2-a^2

(d) Exists only if ‘t’ is complex

This question was posed to me in quiz.

I need to ask this question from Existence and Laplace Transform of Elementary Functions in portion Laplace Transform of Engineering Mathematics

Answer 1

Correct option is (c) a ⁄ s^2-a^2

The best I can explain: The Laplace transform of a function is given by

\(\{f(t)\}=F(s)=\int_0^{\infty} f(t)e^{-st}dt\)

put f(t) = sinhat

On solving, a ⁄ s^2-a^2 is obtained.