Schaum's outline of theory and problems of differential equations / Richard Bronson.

Basic concepts
Classifications of first-order differential equations
Separable first-order differential equations
Exact first-order differential equations
Linear first-order equations
Applications of first-order differential equations
Linear differential equations : theory of solutions
Second-order linear homogeneous differential equations with constant coefficents
nth-order linear homogeneous differential equations with constant coefficients
The method of undetermined coefficients
- Variation of parameters
Initial-value problems
Applications of second-order linear differential equations
The Laplace transform
Inverse Laplace transforms
Convolutions and the unit step function
Solutions of linear differential equations with constant coefficients by Laplace transforms
Solutions of linear systems by Laplace transforms
Matrices
e [superscript At]
Reduction of linear differential equations to a first-order system
Solutions of linear differential equations with constant coefficients by matrix methods
Linear differential equations with variable coefficients
Regular singular points and the method of Frobenius
Gamma and Bessel functions
Graphical methods for solving first-order differential equations
Numerical methods for solving first-order differential equations
Numerical methods for systems
Second-order boundary-value problems
Eigenfunction expansions
Appendix A. Laplace transforms.