<exercise masterit-seed="3781" 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 + 6\right)} {\left(t - 1\right)} {y} - {\left(t^{2} + 1\right)} {y'} = {\left(t - 6\right)} e^{t} \hspace{2em}
x( 5 )= -1 </me></statement><answer><me>(-\infty,+\infty)</me></answer></exercise>
