0008.ptx

<exercise masterit-seed="8960" masterit-slug="X1" masterit-name="Linear ODE systems">
  <statement>
    <p>Find the solution to the given system of IVPs.</p>
    <me> {y} = -{x'} - 4 \, {x} \hspace{2em}x(0)= -2 </me>
    <me> 0 = -9 \, {y} - {y'} + 4 \, {x} \hspace{2em}x(0)= -5 </me>
  </statement>
  <answer>
    <me>x= -e^{\left(-5 \, t\right)} - e^{\left(-8 \, t\right)} </me>
    <me>y= -e^{\left(-5 \, t\right)} - 4 \, e^{\left(-8 \, t\right)} </me>
  </answer>
</exercise>