If the Laplace transform of eωt is $\dfrac{1}{s-\omega}$, the Laplace transform of t cosh t is

Question

If the Laplace transform of eωt is $\dfrac{1}{s-\omega}$, the Laplace transform of t cosh t is

TuteeHUB · Accepted Answer

$\frac{st}{\left( s^2-1\right)}$

TuteeHUB · Answer

$\frac{1+s^2}{\left( s^2-1\right)^2}$

TuteeHUB · Answer

$\frac{1-s^2}{\left( s^2-1\right)^2}$

TuteeHUB · Answer

$\frac{1+s^2}{1-s^2}$

1.	If the Laplace transform of eωt is \(\dfrac{1}{s-\omega}\), the Laplace transform of t cosh t is
A.	\(\frac{1+s^2}{\left( s^2-1\right)^2}\)
B.	\(\frac{st}{\left( s^2-1\right)}\)
C.	\(\frac{1-s^2}{\left( s^2-1\right)^2}\)
D.	\(\frac{1+s^2}{1-s^2}\)
Answer» B. \(\frac{st}{\left( s^2-1\right)}\)

If the Laplace transform of eωt is \(\dfrac{1}{s-\omega}\), the Laplace transform of t cosh t is