Differential equations : an introduction to modern methods and applications / James R. Brannan, Clemson University, William E. Boyce, Rensselaer Polytechnic Institute ; with contributions by Mark A. McKibben, West Chester University.

Includes bibliographic references (pages 664-665) and index.

Ch. 1: Introduction -- Ch. 2: First order differential equations -- Ch. 3: Systems of two first order equations -- Ch. 4: Second order linear equations -- Ch. 5: The laplace transform -- Ch. 6: Systems of first order linear equations -- Ch. 7: Nonlinear differential equations and stability -- Ch. 8: Numerical methods -- Ch. 9: Series of solutions of second order equations -- Ch. 10: Orthogonal functions, fourier series, and boundary value problems -- Ch. 11: Elementary partial differential equations -- Appendix A: Matrices and linear algebra -- Appendix B: Complex variables.

James Brannan, one of the most well known names in mathematics, provides readers with a modern approach to differential equations. The modeling- and technology-intensive format allows readers who may normally struggle with learning the subject to feel confident.