(Solved): Differential Equations Problem 1. Find the general solution of the following systems of differential ...

1. Find the general solution of the following systems of differential equations: (a) (4 points) \( \overrightarrow{x^{\prime}}(t)=\left[\begin{array}{cc}0 & 1 \\ -2 & -3\end{array}\right] \vec{x}(t) \) (b) (4 points) \( \overrightarrow{x^{\prime}}(t)=\left[\begin{array}{cc}-1 & 2 \\ 0 & -1\end{array}\right] \vec{x}(t) \) (c) (4 points) \( \overrightarrow{x^{\prime}}(t)=\left[\begin{array}{cc}2 & -1 \\ 1 & 2\end{array}\right] \vec{x}(t) \)