9781292025339

Elementary Differential Equations with Boundary Value Problems: Pearson New International Edition

C. Henry Edwards, Penney

6th Edition

For briefer traditional courses in elementary differential equations that science, engineering, and mathematics students take following calculus. The Sixth Edition of this widely adopted book remains the same classic differential equations text it's always been, but has been polished and sharpened to serve both instructors and students even more effectively.Edwards and Pen

1.1

Differential Equations and Mathematical Methods

Problems

p.8

1.2

Integrals as General and Particular Solutions

Problems

p.17

1.3

Slope Fields and Solution Curves

Problems

p.27

1.4

Separable Equations and Applications

Problems

p.43

1.5

Linear First-Order Equations

Problems

p.54

1.6

Substitution Methods and Exact Equations

Problems

p.72

1.7

Population Models

Problems

p.82

1.8

Acceleration-Velocity Models

Problems

p.93

Review Problems

p.98

2.1

Introduction: Second-Order Linear Equations

Problems

p.111

2.2

General Solutions of Linear Equations

Problems

p.122

2.3

Homogeneous Equations with Constant Coefficients

Problems

p.134

2.4

Mechanical Vibrations

Problems

p.145

2.5

Nonhomogeneous Equations and Undetermined Coeffcients

Problems

p.161

2.6

Forced Oscillations and Resonance

Problems

p.171

2.7

Electrical Circuits

Problems

p.179

2.8

Endpoint Problems and Eigenvalues

Problems

p.192

3.1

Introduction and Review of Power Series

Problems

p.206

3.2

Series Solutions Near Ordinary Points

Problems

p.216

3.3

Regular Singular Points

Problems

p.231

3.4

Method of Frobenius: The Exceptional Cases

Problems

p.246

3.5

Bessel's Equation

Problems

p.256

3.6

Applications of Bessel Functions

Problems

p.261

4.1

Laplace Transforms and Inverse Transforms

Problems

p.275

4.2

Transformation of Initial Value Problems

Problems

p.287

4.3

Translation and Partial Fractions

Problems

p.296

4.4

Derivatives, Integrals, and Products of Transforms

Problems

p.303

4.5

Periodic and Piecewise Continuous Input Functions

Problems

p.314

4.6

Impulses and Delta Functions

Problems

p.324

5.1

First-Order Systems and Applications

Problems

p.335

5.2

The Method of Elimination

Problems

p.345

5.3

Matrices and Linear Systems

Problems

p.364

5.4

The Eigenvalue Method for Homogeneous Systems

Problems

p.378

5.5

Second-Order Systems and Mechanical Applications

Problems

p.391

5.6

Multiple Eigenvalue Solutions

Problems

p.406

5.7

Matrix Exponentials and Linear Systems

Problems

p.419

5.8

Nonhomogeneous Linear Systems

Problems

p.428