Ordinary Differential Equations: With Applications

Ordinary differential equations are made accessible to beginning readers in this text by the emphasis on solution techniques and applications. Examples are worked out in detailed steps to help readers understand and solve problems efficiently, and theoretical discussion is kept to a minimum. Alternate methods for solving systems of equations allow readers to practice solving problems with and without linear algebra. This third edition includes coverage of computer algebra systems, including references to Maple, Mathematics and Derive. Non-engineering applications provide students with additional motivation for solving differential equations problems and gives instructors flexibility to structure a course with wider appeal. Discussion of equilibrium and stability reflects trends in the field and allows students to test their graphical solving capabilities.