<exercise masterit-seed="7871" 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^{2} + 25\right)} {y} = -{y'} {\left(t - 2\right)} - {\left(t + 5\right)} {\left(t - 5\right)} \hspace{2em}
x( 6 )= -2 </me></statement><answer><me>(2,+\infty)</me></answer></exercise>
