skeleton: 14 chapter stubs and 4 appendices

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\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}