<exercise masterit-seed="0382" masterit-slug="S2" masterit-name="Linear ODE system with elimination"><statement><p>Find the solution to the given system of IVPs.</p><me> {y} = {x'} + 2 \, {x} \hspace{2em}x(0)= -2 </me><me> -4 \, {x} = {y'} - 3 \, {y} \hspace{2em}x(0)= -5 </me></statement><answer><me>x= -e^{\left(2 \, t\right)} - e^{\left(-t\right)} </me><me>y= -4 \, e^{\left(2 \, t\right)} - e^{\left(-t\right)} </me></answer></exercise>
