0005.ptx

<exercise masterit-seed="3351" 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 + 4\right)} {\left(t - 5\right)} y - {\left(t - 2\right)} {y''} - e^{\left(-5 \, t\right)} = -{y'} \hspace{2em}
      x( 0 )= 5 </me>
  </statement>
  <answer>
    <me>(-\infty,2)</me>
  </answer>
</exercise>