<exercise masterit-seed="9808" masterit-slug="X1" masterit-name="Linear ODE systems">
<statement>
<p>Find the solution to the given system of IVPs.</p>
<me> {x} = 2 \, {y} + {x'} \hspace{2em}x(0)= 3 </me>
<me> -{y'} = -6 \, {y} - 2 \, {x} \hspace{2em}x(0)= -3 </me>
</statement>
<answer>
<me>x= e^{\left(5 \, t\right)} + 2 \, e^{\left(2 \, t\right)} </me>
<me>y= -2 \, e^{\left(5 \, t\right)} - e^{\left(2 \, t\right)} </me>
</answer>
</exercise>
