0007.ptx

<exercise masterit-seed="9310" masterit-slug="X1" masterit-name="Linear ODE systems">
  <statement>
    <p>Find the solution to the given system of IVPs.</p>
    <me> {x'} + 2 \, {y} = 3 \, {x} \hspace{2em}x(0)= 3 </me>
    <me> 0 = -{y'} + 2 \, {x} - 2 \, {y} \hspace{2em}x(0)= 3 </me>
  </statement>
  <answer>
    <me>x= 2 \, e^{\left(2 \, t\right)} + e^{\left(-t\right)} </me>
    <me>y= e^{\left(2 \, t\right)} + 2 \, e^{\left(-t\right)} </me>
  </answer>
</exercise>