0009.ptx

<exercise masterit-seed="6930" masterit-slug="X1" masterit-name="Linear ODE systems">
  <statement>
    <p>Find the solution to the given system of IVPs.</p>
    <me> -{y} + 4 \, {x} = {x'} \hspace{2em}x(0)= -2 </me>
    <me> -7 \, {y} = -{y'} - 4 \, {x} \hspace{2em}x(0)= 3 </me>
  </statement>
  <answer>
    <me>x= -e^{\left(8 \, t\right)} - e^{\left(3 \, t\right)} </me>
    <me>y= 4 \, e^{\left(8 \, t\right)} - e^{\left(3 \, t\right)} </me>
  </answer>
</exercise>