<exercise masterit-seed="6834" masterit-slug="S2" masterit-name="Linear ODE system with elimination"><statement><p>Find the solution to the given system of IVPs.</p><me> 2 \, {y} + {x} = -{x'} \hspace{2em}x(0)= 3 </me><me> {y'} + 6 \, {y} = 2 \, {x} \hspace{2em}x(0)= 3 </me></statement><answer><me>x= 2 \, e^{\left(-2 \, t\right)} + e^{\left(-5 \, t\right)} </me><me>y= e^{\left(-2 \, t\right)} + 2 \, e^{\left(-5 \, t\right)} </me></answer></exercise>
