<exercise masterit-seed="1378" 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 - 5\right)} {y} + t^{2} + 1 = -{\left(t + 2\right)} {y'} e^{t} \hspace{2em}
x( 0 )= -5 </me></statement><answer><me>(-2,+\infty)</me></answer></exercise>
