The Particular Solution Of Is
A) $\left( \begin{array} { c } 2 t e ^ { t } / 5 + 3 e ^ { t } \\- 2 t e ^ { t } / 5 + 2 e ^ { t }\end{array} \right)$

Multiple Choice

The particular solution of $\mathbf { X } ^ { \prime } = \left( \begin{array} { l l } 2 & 3 \\2 & 1\end{array} \right) \mathbf { X } + \left( \begin{array} { c } e ^ { - t } \\0\end{array} \right)$ is

A) $\left( \begin{array} { c } 2 t e ^ { t } / 5 + 3 e ^ { t } \\- 2 t e ^ { t } / 5 + 2 e ^ { t }\end{array} \right)$
B) $\left( \begin{array} { c } 2 t e ^ { - t } / 5 + 3 e ^ { - t } \\- 2 t e ^ { - t } / 5 + 2 e ^ { - t }\end{array} \right)$
C) $\left( \begin{array} { c } 2 t e ^ { - t } / 5 - 3 e ^ { - t } \\- 2 t e ^ { - t } / 5 - 2 e ^ { - t }\end{array} \right)$
D) $\left( \begin{array} { c } 2 t e ^ { t } / 5 - 3 e ^ { t } \\- 2 t e ^ { t } / 5 - 2 e ^ { t }\end{array} \right)$
E) none of the above