0009.ptx

<exercise masterit-seed="7628" 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)} {\left(t - 2\right)} y + 2 \, {y''} - e^{\left(3 \, t\right)} = {\left(t - 5\right)} {y'''} e^{t} \hspace{2em}
      x( 6 )= 3 </me>
  </statement>
  <answer>
    <me>(5,+\infty)</me>
  </answer>
</exercise>