The General Solution Of Is
A) B) C) D) E) None of the Above

Multiple Choice

The general solution of $\mathbf { X } ^ { \prime } = \left( \begin{array} { l l } 2 & 3 \\2 & 1\end{array} \right) \mathbf { X } + \left( \begin{array} { l } t \\1\end{array} \right)$ is

A) $c _ { 1 } \left( \begin{array} { c } 1 \\- 1\end{array} \right) e ^ { t } + c _ { 2 } \left( \begin{array} { l } 3 \\2\end{array} \right) e ^ { - 4 t } + \left( \begin{array} { c } t / 4 + 19 / 16 \\- t / 2 + 7 / 8\end{array} \right)$
B) $c _ { 1 } \left( \begin{array} { c } 1 \\- 1\end{array} \right) e ^ { t } + c _ { 2 } \left( \begin{array} { l } 3 \\2\end{array} \right) e ^ { - 4 t } + \left( \begin{array} { c } t / 4 + 19 / 16 \\- t / 2 + 7 / 8\end{array} \right)$
C) $c _ { 1 } \left( \begin{array} { c } 1 \\- 1\end{array} \right) e ^ { - t } + c _ { 2 } \left( \begin{array} { l } 3 \\2\end{array} \right) e ^ { 4 t } + \left( \begin{array} { c } t / 4 - 19 / 16 \\- t / 2 + 7 / 8\end{array} \right)$
D) $c _ { 1 } \left( \begin{array} { c } 1 \\- 1\end{array} \right) e ^ { t } + c _ { 2 } \left( \begin{array} { l } 3 \\2\end{array} \right) e ^ { - 4 t } + \left( \begin{array} { c } t / 4 + 19 / 16 \\- t / 2 + 7 / 8\end{array} \right)$
E) none of the above