<exercise masterit-seed="2976" masterit-slug="N1" 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> {y} {\left(t + 6\right)} {\left(t - 5\right)} + {y'} e^{\left(-2 \, t\right)} = -t \hspace{2em}
x( -6 )= 2 </me></statement><answer><me>(-\infty,+\infty)</me></answer></exercise>
