0011.ptx

<exercise masterit-seed="6816" masterit-slug="X1" masterit-name="Linear ODE systems">
  <statement>
    <p>Find the solution to the given system of IVPs.</p>
    <me> -4 \, {x} = -4 \, {y} - {x'} \hspace{2em}x(0)= 3 </me>
    <me> -9 \, {x} - {y'} = {y} \hspace{2em}x(0)= 10 </me>
  </statement>
  <answer>
    <me>x= -e^{\left(8 \, t\right)} + 4 \, e^{\left(-5 \, t\right)} </me>
    <me>y= e^{\left(8 \, t\right)} + 9 \, e^{\left(-5 \, t\right)} </me>
  </answer>
</exercise>