<exercise masterit-seed="5140" 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> 0 = {\left(t + 6\right)} {\left(t - 1\right)} {y'} + {\left(t - 5\right)} {y} e^{t} + t^{2} + 16 \hspace{2em}
x( -4 )= 2 </me></statement><answer><me>(-6,1)</me></answer></exercise>
