0008.ptx

<exercise masterit-seed="8751" 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 + 1\right)} {\left(t - 5\right)} {y'''} + 2 \, {y''} = {\left(t^{2} + 9\right)} y + t + 5 \hspace{2em}
      x( 4 )= -3 </me>
  </statement>
  <answer>
    <me>(-1,5)</me>
  </answer>
</exercise>