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Differential Equations

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Moderate

Laplace Transform 11

DIFFEQ-Z7VIMB

Find the Laplace transform of:

$$t^2 e^{-3t} - 5t \cos 2t$$

A

$\displaystyle \cfrac{2}{(s+3)^2} -\cfrac{5(s^2-4)}{(s^2+4)^2}$

B

$\displaystyle \cfrac{2}{(s-3)^2} +\cfrac{5(s^2-4)}{(s^2+4)^2}$

C

$\displaystyle \cfrac{2}{(s+3)^2} +\cfrac{5(s^2+4)}{(s^2-4)^2}$

D

$\displaystyle \cfrac{2}{(s-3)^2} -\cfrac{5(s^2+4)}{(s^2+4)^2}$