Question

Question The Laplace transform of
F(t) = sinh3t is equal to
A
49
B
+9
9
- 9
None!
D​

Answer 1

Calculate the Laplace Transform of the function f(t)=1

Integrate e^(-st)*f(t) from t =0 to infinity: => [-exp(-st)/s] evaluated at inf - evaluated at 0 => 0 - (-1/s) = 1/s !...

Answer 2

We recall the concept of Laplace transform

Laplace transform is an integral transform which converts a function of a real variable ( in the time domain) to a function of a complex variable (in the frequency domain).

Given:

    $F(t)= sinh3t$

We find Laplace transform,

$L(f(t))=\frac{3}{s^{2}-3^{2} }$

            $=\frac{3}{s^{2} -9}$