Summary: For courses in Differential Equations in Advanced Mathematics studies.
This concrete and readable text for elementary differential equations courses teaches students first to solve those differential equations that enjoy the most frequent and interesting applications. This motivates students and illustrates the standard elementary techniques of solution of differential equations. It presents precise and clear-cut statements of the fundamental existence and ...show more uniqueness theorems. Appropriate existence and uniqueness proofs are included in the Appendix. Instructors are given a wide range of choices regarding breadth and depth of coverage, as most chapters introduce the principal ideas of the topic in the first few sections, with the remaining sections devoted to extensions and applications. The widespread use of computer programs for the numerical solution of differential equations is reflected in this 5th edition; new problems and new computer-generated figures enable students to construct their own solutions. ...show less