A Particular Solution Of Is
A) $\left( \begin{array} { c } e ^ { t } / 2 \\- e ^ { t } / 2 + 1\end{array} \right)$

Multiple Choice

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

A) $\left( \begin{array} { c } e ^ { t } / 2 \\- e ^ { t } / 2 + 1\end{array} \right)$
B) $\left( \begin{array} { c } - e ^ { t } / 2 \\e ^ { t } / 2 - 1\end{array} \right)$
C) $\left( \begin{array} { c } e ^ { t } / 2 \\- e ^ { t } / 2 - 1\end{array} \right)$
D) $\left( \begin{array} { c } e ^ { t } / 2 \\e ^ { t } / 2 + 1\end{array} \right)$
E) $\left( \begin{array} { c } e ^ { t } / 2 \\e ^ { t } / 2 - 1\end{array} \right)$