<exercise masterit-seed="6293" 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'} e^{\left(3 \, t\right)} = {\left(t + 4\right)} {y} e^{t} + {\left(t + 1\right)} {\left(t - 6\right)} \hspace{2em}
x( -1 )= -2 </me></statement><answer><me>(-\infty,+\infty)</me></answer></exercise>
