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Differential Equations: An Introduction to Modern Methods and Applications, 3rd Edition



Differential Equations: An Introduction to Modern Methods and Applications, 3rd Edition

James R. Brannan, William E. Boyce

ISBN: 978-1-119-04268-6 January 2015 652 Pages


Brannan/Boyce’s Differential Equations: An Introduction to Modern Methods and Applications, 3rd Edition is consistent with the way engineers and scientists use mathematics in their daily work. The text emphasizes a systems approach to the subject and integrates the use of modern computing technology in the context of contemporary applications from engineering and science. The focus on fundamental skills, careful application of technology, and practice in modeling complex systems prepares students for the realities of the new millennium, providing the building blocks to be successful problem-solvers in today’s workplace. Section exercises throughout the text provide hands-on experience in modeling, analysis, and computer experimentation. Projects at the end of each chapter provide additional opportunities for students to explore the role played by differential equations in the sciences and engineering.

Related Resources

Chapter 1: Introduction

Chapter 2: First Order Differential Equations

Chapter 3: Systems of Two First Order Equations

Chapter 4: Second Order Linear Equations

Chapter 5: The Laplace Transform

Chapter 6: Systems of First Order Linear Equations

Chapter 7: Nonlinear Differential Equations and Stability

Chapter 8: Numerical Methods

Chapter 9: Series Solutions of Second order Equations

Chapter 10: Orthogonal Functions, Fourier Series and Boundary-Value Problems

Chapter 11: Elementary Partial Differential Equations


  • Presents more important results, theorems, and definitions in colored summary boxes to enable students to more easily review for tests and exams.
  • Some topics that appear only in exercises in the second edition will be included in the main text of the third. Important examples are the substitution methods for solving homogeneous equations and Bernoulli equations.
  • Numerical methods collected in a new, optional, chapter 8. The first three sections of this chapter will be accessible to students after Chapter 2.
  • Places more emphasis (via discussion, examples, and problems) on how models and applications depend on parameter values.

Prepare & Present

  • Course Materials tohelp you personalize lessons and optimize your time, including:
  • PowerPoint Lecture Slides
  • Instructor's Solution Manual

Ready, Study & Practice

  • Complete online version of the textbook included
  • Relevant, student study tools and learning resources to ensure positive learning outcomes, including:
  • eBook
  • Project Activities
  • Maple, Mathematica and MatLab Data Files
  • Student Solutions Manual
  • Immediate feedback toboost confidence and help students see a return on investment for each study session:
  • Algorithmic End-of-Section and End-of-Chapter homework questions


  • Pre-created activities to encourage learning outside of the classroom, including:
  • Gradable Reading Assignment Questions (embedded with online text)
  • Question Assignments: all end-of-chapter problems coded algorithmically with hints, links to text, whiteboard/show work feature and instructor-controlled problem solving help.
  • WileyPLUS Quickstart assignments and presentations for the entire course created by a subject-matter expert.