Extended homework problems at the end of selected section exercises were submitted and classroom-tested by members of the differential equations instructors. A new design helps students quickly identify resources in the text and emphasizes the application of differential equations in the world around them. The development of material in this text progresses intuitively, and explanations are clear and concise. Exercises reinforce and build on chapter content. The text guides students through material necessary to progress to the next level of study; its clear presentation and mathematical precision make it an excellent reference tool in future courses. While this text is time-tested and widely accepted, it has remained current with the addition of new exercises and the enhanced four-color presentation. Exercises in this edition have been updated to better test and challenge students. A new design helps students quickly identify resources in the text and emphasizes the application of differential equations in the world around them.