<exercise masterit-seed="2012" masterit-slug="S2" masterit-name="Linear ODE system with elimination"><statement><p>Find the solution to the given system of IVPs.</p><me> 2 \, {x} + {x'} = -3 \, {y} \hspace{2em}x(0)= 4 </me><me> -3 \, {y} + {y'} = -12 \, {x} \hspace{2em}x(0)= 1 </me></statement><answer><me>x= e^{\left(7 \, t\right)} + 3 \, e^{\left(-6 \, t\right)} </me><me>y= -3 \, e^{\left(7 \, t\right)} + 4 \, e^{\left(-6 \, t\right)} </me></answer></exercise>
