\section{Second-Order Homogeneous} \label{ch:second_order_homogeneous} \subsection{Characteristic Equation} \label{sec:ch04_characteristic_equation} % Content goes here \subsection{Three Root Cases} \label{sec:ch04_three_root_cases} % Content goes here \subsection{Superposition Principle} \label{sec:ch04_superposition} % Content goes here \subsection{Wronskian and Linear Independence} \label{sec:ch04_wronskian} % Content goes here \subsection{Abel's Identity} \label{sec:ch04_abels_identity} % Content goes here \subsection{Reduction of Order} \label{sec:ch04_reduction_of_order} % Content goes here \subsection{Summary} \label{sec:ch04_summary} % Summary table at end of chapter \begin{table}[htbp] \centering \caption{Chapter Summary} \label{tab:ch04_summary} \begin{tabular}{l l} \toprule \textbf{Concept} & \textbf{Key Formula/Method} \\ \midrule TBD & TBD \\ \bottomrule \end{tabular} \end{table}