Differential Equations

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Moderate

Laplace Transform 3

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Find the Laplace transform of:

$$2t + 5e^{-8t}$$

A

$\displaystyle \cfrac{1}{2s^2} + \cfrac{8}{5s}$

B

$\displaystyle \cfrac{2}{s^2} + \cfrac{8}{s+5}$

C

$\displaystyle \cfrac{2}{s^2} + \cfrac{5}{s+8}$

D

$\displaystyle \cfrac{2}{s^2} + \cfrac{5}{s-8}$