Elementary Differential Equations (Textbooks in Mathematics)

This book is written to innovate the standard course and to modernize it.There has been a dramatic change in the past century in how solutions to differential equations are calculated.However, the way the topic has been taught in introductory courses has barely changed to reflect these advances, which leaves students at a disadvantage. Elementary Differential Equations, Third Edition builds on the previous editions, continuing to innovate with the addition of a new topic: combinatorics.The goal is to assist instructors as they facilitate new teaching methods and utilize the latest technology and to provide flexibility in presenting a new topic to encourage students to explore mathematics and not only its applications. The text is designed to help instructors who want to use computers in their classrooms.It accomplishes this by emphasizing and integrating computers.Many examples and exercises included in the text require the use of computer software to solve problems.It should be noted