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Differential Equations

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Difficult

Inverse Laplace Transform 6

DIFFEQ-X3JGBS

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

$$\displaystyle F(s) = \frac{s+1}{s^2 -4s +5}$$

A

$\displaystyle \cos t + 3\sin t$

B

$\displaystyle \cos 2t + 3 \sin 2t$

C

$\displaystyle e^{2t} \cos t + 3 e^{2t} \sin t$

D

$\displaystyle e^{-2t} \cos t + 3 e^{-2t} \sin t$