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

A) $\frac{1}{s^{2}-3 s-3}\left(-3 s+5+\frac{2}{s^{3}}+e^{6 s}-\frac{2}{s^{3}}+\frac{-14}{s^{2}}+\frac{-48}{s}\right)$
B) $\frac{1}{s^{2}-3 s-3}\left(-3 s+5+\frac{2}{s^{3}}+e^{-6 s}-\frac{2}{s^{3}}+\frac{-14}{s^{2}}+\frac{-48}{s}\right)$
C) $\frac{1}{s^{2}-3 s-3}\left(3 s-5+\frac{2}{s^{3}}+e^{-6 s}-\frac{2}{s^{3}}+\frac{-14}{s^{2}}+\frac{-48}{s}\right)$
D) $\frac{1}{s^{2}-3 s-3}\left(3 s-5+\frac{2}{s^{3}}+e^{6 s}-\frac{2}{s^{3}}+\frac{-14}{s^{2}}+\frac{-48}{s}\right)$
E) $\frac{1}{s^{2}-3 s-3}\left(-3 s+5+\frac{2}{s^{3}}+e^{-6 s} \frac{2}{s^{3}}+\frac{14}{s^{2}}+\frac{48}{s}\right)$
F) $\frac{1}{s^{2}-3 s-3}\left(3 s-5+\frac{2}{s^{3}}+e^{-6 s^{2}} s^{3}+\frac{14}{s^{2}}+\frac{48}{s}\right)$