I'm a studentI'm an educator

Differential Equations and Boundary Value Problems: Computing and Modeling, Tech Update, 5th edition

Published by Pearson (December 11, 2020) © 2019

  • C Henry Edwards University of Georgia, Athens
  • David E. Penney University of Georgia, Athens
  • David Calvis Baldwin Wallace University
Products list
per month
-month term, pay monthly or pay
Buy nowOpens in a new tab
Instant access

eTextbook features

  • Instant access to eTextbook
  • Search, highlight, and notes
  • Create flashcards
Products list
$143.99

Price Reduced From: $179.99

Details

  • Loose-leaf, 3-hole-punched pages
Products list
$89.99
Buy accessOpens in a new tab
14 day temporary access available

Access details

  • Pearson+ eTextbook with study tools
  • Instant access once purchased
  • Register with a Course ID, a link from your instructor or an LMS link (Blackboardâ„¢, Canvasâ„¢, Moodle or D2L®)

Features

  • Interactive digital learning experience
  • Help when and where you need it
  • Instant feedback on assignments
  • Apps and study tools

Differential Equations and Boundary Value Problems: Computing and Modeling, 5th Edition gives you the right balance between concepts, visualization, applications and skills. It provides the conceptual development and geometric visualization that are essential to science and engineering students, balancing traditional manual methods with the computer-based methods that illuminate qualitative phenomena. This comprehensive approach makes a wider range of realistic applications more accessible. The authors start and end the text with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems and applications throughout. This text is ideal for 1-semester sophomore- or junior-level courses in Differential Equations.

Table of Contents

  1. First-Order Differential Equations
    • 1.1 Differential Equations and Mathematical Models
    • 1.2 Integrals as General and Particular Solutions
    • 1.3 Slope Fields and Solution Curves
    • 1.4 Separable Equations and Applications
    • 1.5 Linear First-Order Equations
    • 1.6 Substitution Methods and Exact Equations
  2. Mathematical Models and Numerical Methods
    • 2.1 Population Models
    • 2.2 Equilibrium Solutions and Stability
    • 2.3 Acceleration—Velocity Models
    • 2.4 Numerical Approximation: Euler’s Method
    • 2.5 A Closer Look at the Euler Method
    • 2.6 The Runge—Kutta Method
  3. Linear Equations of Higher Order
    • 3.1 Introduction: Second-Order Linear Equations
    • 3.2 General Solutions of Linear Equations
    • 3.3 Homogeneous Equations with Constant Coefficients
    • 3.4 Mechanical Vibrations
    • 3.5 Nonhomogeneous Equations and Undetermined Coefficients
    • 3.6 Forced Oscillations and Resonance
    • 3.7 Electrical Circuits
    • 3.8 Endpoint Problems and Eigenvalues
  4. Introduction to Systems of Differential Equations
    • 4.1 First-Order Systems and Applications
    • 4.2 The Method of Elimination
    • 4.3 Numerical Methods for Systems
  5. Linear Systems of Differential Equations
    • 5.1 Matrices and Linear Systems
    • 5.2 The Eigenvalue Method for Homogeneous Systems
    • 5.3 A Gallery of Solution Curves of Linear Systems
    • 5.4 Second-Order Systems and Mechanical Applications
    • 5.5 Multiple Eigenvalue Solutions
    • 5.6 Matrix Exponentials and Linear Systems
    • 5.7 Nonhomogeneous Linear Systems
  6. Nonlinear Systems and Phenomena
    • 6.1 Stability and the Phase Plane
    • 6.2 Linear and Almost Linear Systems
    • 6.3 Ecological Models: Predators and Competitors
    • 6.4 Nonlinear Mechanical Systems
    • 6.5 Chaos in Dynamical Systems
  7. Laplace Transform Methods
    • 7.1 Laplace Transforms and Inverse Transforms
    • 7.2 Transformation of Initial Value Problems
    • 7.3 Translation and Partial Fractions
    • 7.4 Derivatives, Integrals, and Products of Transforms
    • 7.5 Periodic and Piecewise Continuous Input Functions
    • 7.6 Impulses and Delta Functions
  8. Power Series Methods
    • 8.1 Introduction and Review of Power Series
    • 8.2 Series Solutions Near Ordinary Points
    • 8.3 Regular Singular Points
    • 8.4 Method of Frobenius: The Exceptional Cases
    • 8.5 Bessel’s Equation
    • 8.6 Applications of Bessel Functions
  9. Fourier Series Methods and Partial Differential Equations
    • 9.1 Periodic Functions and Trigonometric Series
    • 9.2 General Fourier Series and Convergence
    • 9.3 Fourier Sine and Cosine Series
    • 9.4 Applications of Fourier Series
    • 9.5 Heat Conduction and Separation of Variables
    • 9.6 Vibrating Strings and the One-Dimensional Wave Equation
    • 9.7 Steady-State Temperature and Laplace’s Equation
  10. Eigenvalue Methods and Boundary Value Problems
    • 10.1 Sturm—Liouville Problems and Eigenfunction Expansions
    • 10.2 Applications of Eigenfunction Series
    • 10.3 Steady Periodic Solutions and Natural Frequencies
    • 10.4 Cylindrical Coordinate Problems
    • 10.5 Higher-Dimensional Phenomena

Need help? Get in touch