<exercise masterit-seed="4974" 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)= 5 </me>
<me> -{x} + 2 \, {y} = {y'} \hspace{2em}x(0)= 0 </me>
</statement>
<answer>
<me>x= e^{\left(3 \, t\right)} + 4 \, e^{\left(-2 \, t\right)} </me>
<me>y= -e^{\left(3 \, t\right)} + e^{\left(-2 \, t\right)} </me>
</answer>
</exercise>
