This Sixth Edition of the best-selling A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, places a greater emphasis on modeling and using technology in problem solving, and now features more applications. The last edition of this text became university professors' top choice for teaching differential equations, in part because the author piques students' interest with special features and in-text aids. Pre-publication reviewers of this edition again praise the author's accessible writing style and the text's organization which makes it easy to teach from and easy for students to understand and use. Understandable, step-by-step solutions are provided for every example. And this edition makes an even greater effort to show students how the mathematical concepts have relevant, everyday applications.