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Differential Equations

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Moderate

Step Function 11

DIFFEQ-VGVHEB

Find the Laplace transform of:

$$e^{-3t} + t^2 - t +7$$

A

$$ \frac{1}{s+3} +\frac{2}{s^3} -\frac{1}{s^2} + \frac{7}{s}$$

B

$$ \frac{1}{s-3} +\frac{1}{s^3} -\frac{1}{s^2} + 7$$

C

$$ \frac{3}{s} +\frac{2}{s^3} +\frac{1}{s^2} + \frac{7}{s}$$

D

$$ \frac{1}{s-3} +\frac{2}{s^3} -\frac{3}{s^2} + \frac{7}{s}$$