0001.ptx

<exercise masterit-seed="6783" masterit-slug="X1" masterit-name="Linear ODE systems">
  <statement>
    <p>Find the solution to the given system of IVPs.</p>
    <me> 0 = -4 \, {x} - 4 \, {y} - {x'} \hspace{2em}x(0)= -5 </me>
    <me> 9 \, {x} + {y'} = {y} \hspace{2em}x(0)= 8 </me>
  </statement>
  <answer>
    <me>x= -4 \, e^{\left(5 \, t\right)} - e^{\left(-8 \, t\right)} </me>
    <me>y= 9 \, e^{\left(5 \, t\right)} - e^{\left(-8 \, t\right)} </me>
  </answer>
</exercise>