Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. Available in two versions, these flexible texts offer the instructor many choices in syllabus design, course emphasis (theory, methodology, applications, and numerical methods), and in using commercially available computer software. Fundamentals of Differential Equations, Seventh Edition is suitable for a one-semester sophomore- or junior-level course. Fundamentals ofDifferential Equations with Boundary Value Problems, Fifth Edition, contains enough material for a two-semester course that covers and builds on boundary value problems. The Boundary Value Problems version consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm-Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory).Applications-driven sections are included in the chapter on linear second-order equations. Modernized treatment of the chapter on the introduction to systems and phase plane analysis increases student comprehension of the material. Group Projects relating to the material covered appear at the end of each chapter. They may involve more challenging applications, delve deeper into theory, or introduce more advanced topics. The expanded coverage of dynamical systems is consistent with the level of the text. The phase line is covered at the beginning of the text. Updated Instructor Manuals for MAPLE/Matlab/Mathematica, tied to the development of the text, Included are suggestions on incorporating these technologies into the courses, along with sample worksheets for labs. Interactive Differential Equations CD-ROM is included with every new copy of the book.