0004.tex

\begin{exerciseStatement}


 Find the largest interval for which the Existence and Uniqueness Theorem for Linear IVPs guarantees a unique solution for the following IVP. 

\[ {y} {\left(t + 6\right)} {\left(t - 5\right)} + {y'} e^{\left(-2 \, t\right)} = -t \hspace{2em}
      x( -6 )= 2 \]
\end{exerciseStatement}
    
\begin{exerciseAnswer} 
\[(-\infty,+\infty)\]
\end{exerciseAnswer}