<exercise masterit-seed="2706" 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> -{y'} {\left(t + 4\right)} {\left(t - 6\right)} - t + 2 = {\left(t^{2} + 25\right)} {y} \hspace{2em}
x( 0 )= 8 </me></statement><answer><me>(-4,6)</me></answer></exercise>
