0002.ptx

<exercise masterit-seed="7892" 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)} t {y'''} = -t^{2} - {\left(t - 5\right)} y - 4 \, {y''} - 16 \hspace{2em}
      x( -1 )= 1 </me>
  </statement>
  <answer>
    <me>(-5,0)</me>
  </answer>
</exercise>