\appendix \section{Solution Method Summary} \label{app:solution_summary} This appendix provides quick-reference tables for solution methods across all chapter topics. \begin{table}[htbp] \centering \caption{Solution Methods by Equation Type} \label{tab:solution_methods} \begin{tabular}{l l l} \toprule \textbf{Equation Type} & \textbf{Method} & \textbf{Key Formula} \\ \midrule Separable ODE & Separation of variables & TBD \\ Linear first-order & Integrating factor & TBD \\ Exact equations & Potential function & TBD \\ Bernoulli & Substitution & TBD \\ Second-order homogeneous & Characteristic equation & TBD \\ Second-order nonhomogeneous & Undetermined coefficients & TBD \\ Second-order nonhomogeneous & Variation of parameters & TBD \\ IVP with Laplace & Laplace transform & TBD \\ Systems of ODEs & Eigenvalue method & TBD \\ Series solutions & Power series & TBD \\ \bottomrule \end{tabular} \end{table}