Elementary Differential Equations

Front Cover
Wiley Global Education, Nov 16, 2016 - Mathematics - 512 pages

With Wiley's Enhanced E-Text, you get all the benefits of a downloadable, reflowable eBook with added resources to make your study time more effective, including:

  • Embedded & searchable equations, figures & tables
  • Math XML
  • Index with linked pages numbers for easy reference
  • Redrawn full color figures to allow for easier identification

Elementary Differential Equations, 11th 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. The authors have sought 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. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications.

In addition to expanded explanations, the 11th edition includes new problems, updated figures and examples to help motivate students. The program is primarily intended for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. 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.

 

Selected pages

Contents

Introduction
1
FirstOrder Differential Equations
24
SecondOrder Linear Differential Equations
103
HigherOrder Linear Differential Equations
169
Series Solutions of SecondOrder Linear Equations
189
The Laplace Transform
241
Systems of FirstOrder Linear Equations
281
Numerical Methods
354
Nonlinear Differential Equations and Stability
388
Answers to Problems
463
Index
491
EULA
496
Copyright

Other editions - View all

Elementary Differential Equations
William E. Boyce,Richard C. DiPrima,Douglas B. Meade
Limited preview - 2017
Elementary Differential Equations
William E. Boyce
No preview available - 2017
Elementary Differential Equations, Eleventh Edition Binder Ready Version
William E. Boyce
No preview available - 2016

Common terms and phrases

applied approach approximate arbitrary assume asymptotically stable becomes behavior calculations called Chapter coefficients complex Consider constant continuous converges corresponding cost critical point curve depends derivatives described determine differential equation discussed eigenvalues eigenvectors error Euler method example exists expression Figure first-order follows force formula function Further given graph Hence homogeneous important increases independent initial conditions initial value problem integral interval Laplace transform limit linear system linearly mass mathematical matrix method motion multiplicity node nonlinear Note numerical Observe obtain origin period phase plot polynomial population positive possible radius of convergence respectively result roots saddle point satisfies shown in Figure side sint solution of equation solve spiral step substituting Suppose Theorem trajectories unstable variable vector versus write zero

Bibliographic information

TitleElementary Differential Equations
AuthorsWilliam E. Boyce, Richard C. DiPrima, Douglas B. Meade
Edition11, unabridged
PublisherWiley Global Education, 2016
ISBN1119169879, 9781119169871
Length512 pages
Subjects ›  › 

Mathematics / Differential Equations / General
Mathematics / General
Mathematics / Mathematical Analysis
  
Export CitationBiBTeX EndNote RefMan