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29 reviews(Ebook) Differential Equations with Boundary Value Problems 2nd Edition by John Polking, Al Boggess, David Arnold - Ebook PDF Instant Download/Delivery: 9780131862364 ,0131862367
Full download (Ebook) Differential Equations with Boundary Value Problems 2nd Edition after payment
Product details:
ISBN 10: 0131862367
ISBN 13: 9780131862364
Author: John Polking, Al Boggess, David Arnold
(Ebook) Differential Equations with Boundary Value Problems 2nd Edition Table of contents:
Differential Equation Models
The Derivative
Integration
Differential Equations and Solutions
Solutions to Separable Equations
Models of Motion
Linear Equations
Mixing Problems
Exact Differential Equations
Existence and Uniqueness of Solutions
Dependence of Solutions on Initial Conditions
Autonomous Equations and Stability
Project 2.10: The Daredevil Skydiver
Modeling Population Growth
Models and the Real World
Personal Finance
Electrical Circuits
Project 3.5: The Spruce Budworm
Project 3.6: Social Security, Now or Later
Definitions and Examples
Second-Order Equations and Systems
Linear, Homogeneous Equations with Constant Coefficients
Harmonic Motion
Inhomogeneous Equations; the Method of Undetermined Coefficients
Variation of Parameters
Forced Harmonic Motion
Project 4.8: Nonlinear Oscillators
The Definition of the Laplace Transform
Basic Properties of the Laplace Transform
The Inverse Laplace Transform
Using the Laplace Transform to Solve Differential Equations
Discontinuous Forcing Terms
The Delta Function
Convolutions
Summary
Project 5.9: Forced Harmonic Oscillators
Euler’s Method
Runge-Kutta Methods
Numerical Error Comparisons
Practical Use of Solvers
A Cautionary Tale
Project 6.6: Numerical Error Comparison
Vectors and Matrices
Systems of Linear Equations with Two or Three Variables
Solving Systems of Equations
Homogeneous and Inhomogeneous Systems
Bases of a Subspace
Square Matrices
Systems of Differential Equations
Phase Plane Portraits
Autonomous Systems
Stability of Linear Systems
Project 8.5: The Predator-Prey Model
Linear Systems with Constant Coefficients
Complex Eigenvalues
Real Eigenvalues
Nonhomogeneous Systems
Project 9.7: The Forced Spring-Mass System
Nonlinear Systems
Phase Plane Portraits for Nonlinear Systems
Stability of Nonlinear Systems
Project 10.6: The Van der Pol Oscillator
Power Series Solutions
The Method of Frobenius
Regular Singular Points
Project 11.4: Bessel’s Equation
Fourier Series
Even and Odd Functions
Fourier Cosine and Sine Series
Fourier Series for Periodic Functions
Project 12.3: Heat Conduction in a Rod
Introduction to Partial Differential Equations
The Heat Equation
The Wave Equation
Laplace’s Equation
Separation of Variables
Project 13.4: Vibrations of a Drumhead
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Tags: John Polking, Al Boggess, David Arnold, Differential Equations, Value Problems