Elementary Differential Equations - 9th Edition - by William E. Boyce - ISBN 9780470039403

Elementary Differential Equations
9th Edition
William E. Boyce
Publisher: Wiley, John & Sons, Incorporated
ISBN: 9780470039403

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Book Details

Preface
Chapter 1 Introduction 1
1.1 Some Basic Mathematical Models; Direction Fields
1.2 Solutions of Some Differential Equations
1.3 Classification of Differential Equations
1.4 Historical Remarks

Chapter 2 First Order Differential Equations
2.1 Linear Equations; Method of Integrating Factors
2.2 Separable Equations
2.3 Modeling with First Order Equations
2.4 Differences Between Linear and Nonlinear Equations
2.5 Autonomous Equations and Population Dynamics
2.6 Exact Equations and Integrating Factors
2.7 Numerical Approximations: Euler's Method
2.8 The Existence and Uniqueness Theorem
2.9 First Order Difference Equations

Chapter 3 SecondOrder Linear Equations 135
3.1 Homogeneous Equations with Constant Coef?cients
3.2 Fundamental Solutions of Linear Homogeneous Equations; The Wronskian
3.3 Complex Roots of the Characteristic Equation
3.4 Repeated Roots; Reduction of Order
3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients
3.6 Variation of Parameters
3.7 Mechanical and Electrical Vibrations
3.8 Forced Vibrations

Chapter 4 Higher Order Linear Equations
4.1 General Theory of nth Order Linear Equations
4.2 Homogeneous Equations with Constant Coef?cients
4.3 The Method of Undetermined Coef?cients
4.4 The Method of Variation of Parameters

Chapter 5 Series Solutions of Second Order Linear Equations
5.1 Review of Power Series
5.2 Series Solutions Near an Ordinary Point, Part I
5.3 Series Solutions Near an Ordinary Point, Part II
5.4 Euler Equations; Regular Singular Points
5.5 Series Solutions Near a Regular Singular Point, Part I
5.6 Series Solutions Near a Regular Singular Point, Part II
5.7 Bessel's Equation

Chapter 6 The Laplace Transform
6.1 Definition of the Laplace Transform
6.2 Solution of Initial Value Problems
6.3 Step Functions
6.4 Differential Equations with Discontinuous Forcing Functions
6.5 Impulse Functions
6.6 The Convolution Integral

Chapter 7 Systems of First Order Linear Equations
7.1 Introduction
7.2 Review of Matrices
7.3 Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors
7.4 Basic Theory of Systems of First Order Linear Equations
7.5 Homogeneous Linear Systems with Constant Coefficients
7.6 Complex Eigenvalues
7.7 Fundamental Matrices
7.8 Repeated Eigenvalues
7.9 Nonhomogeneous Linear Systems

Chapter 8 Numerical Methods
8.1 The Euler or Tangent Line Method
8.2 Improvements on the Euler Method
8.3 The Runge-KuttaMethod
8.4 Multistep Methods
8.5 More on Errors; Stability
8.6 Systems of First Order Equations

Chapter 9 Nonlinear Differential Equations and Stability
9.1 The Phase Plane: Linear Systems
9.2 Autonomous Systems and Stability
9.3 Locally Linear Systems
9.4 Competing Species
9.5 Predator-Prey Equations
9.6 Liapunov's Second Method
9.7 Periodic Solutions and Limit Cycles
9.8 Chaos and Strange Attractors: The Lorenz Equations
Answers to Problems
Index

More Editions of This Book

Corresponding editions of this textbook are also available below:

Elementary Differential Equations
10th Edition
ISBN: 9780470458327
Elementary differential equations
2nd Edition
ISBN: 9780471093350
Elementary Differential Equations
3rd Edition
ISBN: 9780471094142
Elementary Differential Equations
7th Edition
ISBN: 9780471319986
Elementary Differential Equations
4th Edition
ISBN: 9780471078944
Elementary Differential Equations
6th Edition
ISBN: 9780471089537
Elementary Differential Equations And Boundary Value Problems
4th Edition
ISBN: 9780471078951
Elementary Differential Equations
8th Edition
ISBN: 9780471433392
ELEMENTARY DIFF EQUATIONS LL+WILEYPLUS
12th Edition
ISBN: 9781119777724
ELEMENTARY DIFFERENTIAL EQUATIONS+BOUND
12th Edition
ISBN: 9781119802686
ELEMENTARY DIFF EQUATIONS WILEY+ ACCESS
12th Edition
ISBN: 9781119777717
Elementary Differential Equations
12th Edition
ISBN: 9781119777755
Introduction To Environmental Technology
1st Edition
ISBN: 9780471287339
ELEMENTARY DIFFERENTIAL... - EPUB ACCESS
11th Edition
ISBN: 9781119381686
ELEMENTARY DIFFERENTIAL EQUATIONS
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ISBN: 9781119624936
ELEMENTARY DIFF. EQUATIONS-EBOOK>I<
11th Edition
ISBN: 2819480252933
Elementary Differential Equations, 11e WileyPLUS Registration Card + Loose-leaf Print Companion
11th Edition
ISBN: 9781119336549
Elementary Differential Equations, Eleventh Edition Binder Ready Version
11th Edition
ISBN: 9781119169796
Elementary Differential Equations, Eleventh Edition WileyPLUS Next Gen eCommerce
11th Edition
ISBN: 978EEGRP38127
Elementary Differential Equations
12th Edition
ISBN: 9781119777731

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