0011.ptx

<exercise masterit-seed="9528" 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> 3 \, {y''} = {\left(t - 2\right)} {\left(t - 5\right)} {y'''} + {\left(t + 5\right)} y e^{t} + e^{\left(-2 \, t\right)} \hspace{2em}
      x( 3 )= 8 </me>
  </statement>
  <answer>
    <me>(2,5)</me>
  </answer>
</exercise>