0007.ptx

<exercise masterit-seed="5707" masterit-slug="X2" masterit-name="Existence/uniqueness theorem for linear IVPs">
  <statement>
    <p>
      Find the largest interval for which the Existence and Uniqueness
      Theorem for Linear IVPs guarantees a unique solution for the following IVP.
    </p>
    <me> y e^{t} - 2 \, {y''} = -{\left(t + 5\right)} {\left(t - 1\right)} {y'''} - t + 5 \hspace{2em}
      x( -3 )= 3 </me>
  </statement>
  <answer>
    <me>(-5,1)</me>
  </answer>
</exercise>