<exercise masterit-seed="9721" masterit-slug="X1" masterit-name="Linear ODE systems">
<statement>
<p>Find the solution to the given system of IVPs.</p>
<me> {x'} - {x} - 4 \, {y} = 0 \hspace{2em}x(0)= 3 </me>
<me> 2 \, {y} = {x} - {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>
