MODER ELEMENTARY DIFFERENTIAL EQUATIONS

Designed to introduce students to the theory and applications of differential equations and to help them formulate scientific problems in terms of such equations, this undergraduate-level text emphasizes applications to problems in biology, economics, engineering and physics. Anong other goals its objectives are to help readers learn:

How to convert plausible scientific assumptions into various kinds of differential equations

How to deal easily with linear differential equations with constant coefficients

How to use power-series expansions to obtain analytic and computational behavior of the solutions of linear and nonlinear differential equations

How to obtain numerical solutions of differential equations using both desk and digital computers

How to use successive approximations as an all-purpose tool for obtaining analytic and numerical solutions of differential equations.

For this second edition, the authors added important new material on discontinuous solutions, Riccati and Euler equations and linear difference equations. Many new exercises and problems are included as well, along with answers to selected problems.