<exercise masterit-seed="7248" 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 + 1\right)} {y'} - {\left(t - 6\right)} e^{t} = {\left(t^{2} + 9\right)} {y} \hspace{2em}
x( -2 )= 2 </me></statement><answer><me>(-5,-1)</me></answer></exercise>
