This textbook for a one- or two-semester course in basic theory as well as applications of differential equations includes chapters on eigenvalue problems and Sturm-Liouville equations, stability of autonomous systems, and existence and uniqueness theory. The third edition adds a section on vibrations, an expanded review of linear algebraic equations and matrices, and a new treatment of Taylor polynomials. The CD-ROM helps visualize concepts with applications drawn from engineering, physics, chemistry, and biology. Annotation copyrighted by Book News, Inc., Portland, OR