<exercise masterit-seed="8431" masterit-slug="X1" masterit-name="Linear ODE systems">
<statement>
<p>Find the solution to the given system of IVPs.</p>
<me> 0 = {x} - {x'} + 4 \, {y} \hspace{2em}x(0)= -3 </me>
<me> -{y'} = -{x} + 2 \, {y} \hspace{2em}x(0)= -2 </me>
</statement>
<answer>
<me>x= -4 \, e^{\left(2 \, t\right)} + e^{\left(-3 \, t\right)} </me>
<me>y= -e^{\left(2 \, t\right)} - e^{\left(-3 \, t\right)} </me>
</answer>
</exercise>
