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Differential Equations

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Difficult

Step Function 6

DIFFEQ-4LYMBW

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

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

A

$$ {2t} \cos t + 3 t \sin t$$

B

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

C

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

D

$$ 2e^{-2t} \cos t - e^{2t} \sin t$$