Elementary Differential Equations
eBook - PDF

Elementary Differential Equations

  1. 525 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Elementary Differential Equations

About this book

Elementary Differential Equations 12th Edition is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. In this revision, new author Douglas Meade focuses on developing students conceptual understanding with new concept check questions and worksheets for each chapter. Meade builds upon Boyce and DiPrima's work to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two or three semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.

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Key takeaways

AI-Generated Insights
Insight 1

Apply various analytical and series methods to solve first-order, second-order, and higher-order linear differential equations, including techniques like integrating factors, undetermined coefficients, variation of parameters, and power series.

Insight 2

Utilize Laplace transforms to solve initial value problems and apply matrix-based methods to analyze and solve systems of first-order linear differential equations.

Insight 3

Formulate mathematical models using differential equations, approximate solutions numerically using methods such as Euler's and Runge-Kutta, and analyze the behavior and stability of nonlinear systems.

Information

Publisher
Wiley
Year
2021
eBook ISBN
9781119828730
Edition
12
Topic
Mathematics
Subtopic
Differential Equations
Index
Mathematics

Table of contents

  1. Cover
  2. Title page
  3. Copyright
  4. About the Authors
  5. Preface
  6. Brief Contents
  7. Contents
  8. Chapter 1: Introduction
  9. Chapter 2: First-Order Differential Equations
  10. Chapter 3: Second-Order Linear Differential Equations
  11. Chapter 4: Higher-Order Linear Differential Equations
  12. Chapter 5: Series Solutions of Second-Order Linear Equations
  13. Chapter 6: The Laplace Transform
  14. Chapter 7: Systems of First-Order Linear Equations
  15. Chapter 8: Numerical Methods
  16. Chapter 9: Nonlinear Differential Equations and Stability
  17. Answers to Problems
  18. Index
  19. EULA

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Yes, you can access Elementary Differential Equations by William E. Boyce,Richard C. DiPrima,Douglas B. Meade in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.