<exercise masterit-seed="7726" masterit-slug="S2" masterit-name="Linear ODE system with elimination"><statement><p>Find the solution to the given system of IVPs.</p><me> -{x} = -{x'} - 2 \, {y} \hspace{2em}x(0)= -1 </me><me> 0 = 2 \, {x} + {y'} + 2 \, {y} \hspace{2em}x(0)= 3 </me></statement><answer><me>x= -2 \, e^{\left(2 \, t\right)} + e^{\left(-3 \, t\right)} </me><me>y= e^{\left(2 \, t\right)} + 2 \, e^{\left(-3 \, t\right)} </me></answer></exercise>
