Differential equations / Paul Blanchard, Robert L. Devaney and Glen R. Hall

Includes bibliographical references and index

Differential Equations by Paul Blanchard, Robert L. Devaney, and Glen R. Hall (Brooks/Cole, 1998) is a modern undergraduate/first-course text that emphasizes conceptual understanding and the interplay of analytic, numerical and qualitative methods for ordinary differential equations. The authors favor a modeling approach and make significant use of computer/graphical tools to illustrate behavior of solutions — particularly of nonlinear systems — rather than relying solely on closed-form solution techniques. Topics typically covered include first-order equations and modeling, linear systems, existence & uniqueness, phase plane analysis, stability, periodic solutions, and introduction to boundary-value problems and numerical approaches; the book contains worked examples, exercises, figures, and bibliographic references for further study.