Find the largest interval for which the Existence and Uniqueness Theorem for Linear IVPs guarantees a unique solution for the following IVP.
\[ {y} {\left(t + 6\right)} {\left(t - 5\right)} + {y'} e^{\left(-2 \, t\right)} = -t \hspace{2em} x( -6 )= 2 \]
Answer:
\[(-\infty,+\infty)\]