<exercise masterit-seed="1204" 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> {\left(t + 5\right)} {\left(t - 2\right)} {y'} = -t^{2} - {\left(t - 6\right)} {y} - 1 \hspace{2em}
x( -2 )= 3 </me></statement><answer><me>(-5,2)</me></answer></exercise>
