After a brief review of first-order differential equations, this book focuses on second-order equations with constant coefficients that derive their general solution using only results described previously.

Greenberg (mechanical engineering, U. of Delaware) presents a textbook for a first course in differential equations for students of science, engineering, and mathematics, typically in their third or fourth semester. He assumes them to have completed a differential and integral calculus sequence, but does not expect knowledge of linear algebra. The topics are first-order differential equations, higher-order linear equations, applications of higher-order equations, systems of linear differential equations, the Laplace transform, series solutions, and systems of non-linear differential equations. Exercises with answers are provided. Annotation 2012 Book News, Inc., Portland, OR (booknews.com)