0004.ptx

<exercise masterit-seed="4959" masterit-slug="X1" masterit-name="Linear ODE systems">
  <statement>
    <p>Find the solution to the given system of IVPs.</p>
    <me> -{x'} - 4 \, {y} = {x} \hspace{2em}x(0)= -5 </me>
    <me> -{y'} = -2 \, {y} + {x} \hspace{2em}x(0)= 0 </me>
  </statement>
  <answer>
    <me>x= -e^{\left(3 \, t\right)} - 4 \, e^{\left(-2 \, t\right)} </me>
    <me>y= e^{\left(3 \, t\right)} - e^{\left(-2 \, t\right)} </me>
  </answer>
</exercise>