0001.ptx

<exercise masterit-seed="0503" 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} = {\left(t + 4\right)} {\left(t + 2\right)} y + 3 \, {y''} + e^{\left(-5 \, t\right)} \hspace{2em}
      x( 9 )= 2 </me>
  </statement>
  <answer>
    <me>(5,+\infty)</me>
  </answer>
</exercise>