Chapter 1: Introduction and first-order equations
Chapter 2: The general, linear equation
Chapter 3:Linear equations with constant coefficients
Chapter 5: Equations with regular singular points
Chapter 6: Existence and regularity of solutions
Chapter 8: Stability I: Equilibrium Points
Chapter 9: Stability II: Maps and Periodic Orbits
Chapter 10: Boundary-value problems
Chapter 11: Oscillation theory
Chapter 12: Eigenfunction expansions
Ordinary Differential Equations, Birkhoff and Rota (QA372.B580)
Differential Equations, Dynamical Systems, and Linear Algebra, Hirsch and Smale (QA3.P94 v 60)
Elementary Differential Equations and Boundary Value Problems, Boyce and DiPrima (QA372.B79)