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Differential Equations

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Difficult

Laplace Transform 7

DIFFEQ-EMA2MR

Find the Laplace transform of $7\cos t + 8\sin 2t $.

A

$\displaystyle \cfrac{7}{s+1} +\cfrac{8s}{s^2-2}$

B

$\displaystyle \cfrac{7s}{s^2+1} -\cfrac{8}{s^2+4}$

C

$\displaystyle \cfrac{7}{s^2+1} +\cfrac{16s}{s^2+4}$

D

$\displaystyle \cfrac{7s}{s^2+1} -\cfrac{16}{s^2+4}$