<exercise masterit-seed="5694" masterit-slug="S2" masterit-name="Linear ODE system with elimination"><statement><p>Find the solution to the given system of IVPs.</p><me> 4 \, {y} - 5 \, {x} + {x'} = 0 \hspace{2em}x(0)= -3 </me><me> {y'} + {x} = 8 \, {y} \hspace{2em}x(0)= -2 </me></statement><answer><me>x= e^{\left(9 \, t\right)} - 4 \, e^{\left(4 \, t\right)} </me><me>y= -e^{\left(9 \, t\right)} - e^{\left(4 \, t\right)} </me></answer></exercise>
