<exercise masterit-seed="2893" masterit-slug="S2" masterit-name="Linear ODE system with elimination"><statement><p>Find the solution to the given system of IVPs.</p><me> {x'} + {y} = {x} \hspace{2em}x(0)= 0 </me><me> 0 = -2 \, {y} - {y'} - 4 \, {x} \hspace{2em}x(0)= 5 </me></statement><answer><me>x= -e^{\left(2 \, t\right)} + e^{\left(-3 \, t\right)} </me><me>y= e^{\left(2 \, t\right)} + 4 \, e^{\left(-3 \, t\right)} </me></answer></exercise>
