0010.ptx

<exercise masterit-seed="8879" 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> -{\left(t - 5\right)} {y'''} e^{t} - 5 \, {y''} - e^{t} = {\left(t + 4\right)} t y \hspace{2em}
      x( 8 )= 4 </me>
  </statement>
  <answer>
    <me>(5,+\infty)</me>
  </answer>
</exercise>