Find the Laplace Transform of the Solution X(t) of the Following

Multiple Choice

Find the Laplace transform of the solution x(t) of the following initial value problem:

Wher

A) $\frac{1}{s^{2}+7 s+5}\left(5 s+40+\frac{\left(e^{-8 \pi s}-1\right) }{s^{2}+1}+\frac{e^{-\mathrm{g} \pi s}}{s^{2}}\right)$
B) $\frac{1}{s^{2}+7 s+5}\left(-5 s-40+\frac{\left(e^{-8 \pi s}-1\right) }{s^{2}+1}+\frac{e^{-g \pi s}}{s^{2}}\right)$
C) $\frac{1}{s^{2}+7 s+5}\left(5 s+40+\frac{\left(1-e^{-8 \pi s}\right) s}{s^{2}+1}+\frac{e^{-\mathrm{g} \pi s}}{s^{2}}\right)$
D) $\frac{1}{s^{2}+7 s+5}\left(-5 s-40+\frac{\left(1-e^{-8 \pi s}\right) s}{s^{2}+1}+\frac{e^{-g \pi s}}{s^{2}}\right)$