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Differential Equations

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Inverse Laplace Transform 2

DIFFEQ-1M3BLW

Find $\mathcal{L}^{-1}\left(F(s)\right)$ if:

$$\displaystyle F(s) = \frac{3}{s^2+4}$$

A

$\displaystyle {3}\sin 2t$

B

$\displaystyle \cfrac{3}{4}\sin t$

C

$\displaystyle \sin (3t/2)$

D

$\displaystyle \cfrac{3}{2}\sin 2t$