<exercise masterit-seed="1552" masterit-slug="S2" masterit-name="Linear ODE system with elimination"><statement><p>Find the solution to the given system of IVPs.</p><me> -{x'} = -4 \, {y} - 4 \, {x} \hspace{2em}x(0)= 3 </me><me> 0 = -9 \, {y} + {x} + {y'} \hspace{2em}x(0)= 0 </me></statement><answer><me>x= -e^{\left(8 \, t\right)} + 4 \, e^{\left(5 \, t\right)} </me><me>y= -e^{\left(8 \, t\right)} + e^{\left(5 \, t\right)} </me></answer></exercise>
