Judson$5\mathrm{.}4$: Problem $6$

$(1$ point$)$

Solve the system

$\frac{dx}{dt}=\left[\begin{array}{ccc}3& 3& -3\end{array}\right]$

$-6x$

with $x(0)=\left[\begin{array}{c}3\end{array}\right]$

$-1$

Give your solution in real form.

$x_1=$

$x_2=$

An ellipse with clockwise orientation $1.$ Describe the trajectory.