0012.ptx

<exercise masterit-seed="9346" 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 + 6\right)} {\left(t - 1\right)} {y''} + {\left(t - 6\right)} y + 4 \, {y'} = -t^{2} - 25 \hspace{2em}
      x( 0 )= -8 </me>
  </statement>
  <answer>
    <me>(-6,1)</me>
  </answer>
</exercise>