Chapter 6.7, Problem 12P

In each of Problems 11 and 12, find the solution of the given initial value problem. Draw the corresponding trajectory in $x_1{x}_2{x}_3$-space and also draw the graph of $x_1$ versus $t$.

$x\text{'}=\left(\begin{array}{ccc}1& 1& 0\\ -14& -5& 1\\ 15& 5& -2\end{array}\right)x,x\left(0\right)=\left(\begin{array}{c}5\\ 5\\ -4\end{array}\right)$