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Differential Equations

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Step Function 2

DIFFEQ-YMGRBZ

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

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

A

$$\frac{a}{s^2+a^2}$$

B

$$\frac{s}{s^2+a^2}$$

C

$$\frac{3a}{s^2+a^2}$$

D

$$\frac{3s}{s^2+a^2}$$