\section{Qualitative Analysis and Numerical Methods} \label{ch:qualitative} \subsection{Autonomous Equations and Phase Lines} \label{sec:ch03_autonomous_phase_lines} % Content goes here \subsection{Stability Analysis} \label{sec:ch03_stability} % Content goes here \subsection{Logistic Equation} \label{sec:ch03_logistic} % Content goes here \subsection{Euler's Method} \label{sec:ch03_eulers_method} % Content goes here \subsection{Applications (Cooling, Mixing, Falling Bodies)} \label{sec:ch03_applications} % Content goes here \subsection{Summary} \label{sec:ch03_summary} % Summary table at end of chapter \begin{table}[htbp] \centering \caption{Chapter Summary} \label{tab:ch03_summary} \begin{tabular}{l l} \toprule \textbf{Concept} & \textbf{Key Formula/Method} \\ \midrule TBD & TBD \\ \bottomrule \end{tabular} \end{table}