0012.ptx

<exercise masterit-seed="7219" masterit-slug="X1" masterit-name="Linear ODE systems">
  <statement>
    <p>Find the solution to the given system of IVPs.</p>
    <me> -{x'} = -3 \, {x} + 9 \, {y} \hspace{2em}x(0)= -10 </me>
    <me> -4 \, {x} - 2 \, {y} = {y'} \hspace{2em}x(0)= 3 </me>
  </statement>
  <answer>
    <me>x= -9 \, e^{\left(7 \, t\right)} - e^{\left(-6 \, t\right)} </me>
    <me>y= 4 \, e^{\left(7 \, t\right)} - e^{\left(-6 \, t\right)} </me>
  </answer>
</exercise>