Differential Equations

ISBN-10: 0131437380

ISBN-13: 9780131437388

Edition: 2nd 2006

List price: $204.40
30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy


Combining traditional material with a modern systems approach, this handbook provides a thorough introduction to differential equations, tempering its classic "pure math" approach with more practical applied aspects.Features up-to-date coverage of key topics such as first order equations, matrix algebra, systems, and phase plane portraits. Illustrates complex concepts through extensive detailed figures. Focuses on interpreting and solving problems through optional technology projects.For anyone interested in learning more about differential equations.
what's this?
Rush Rewards U
Members Receive:
You have reached 400 XP and carrot coins. That is the daily max!
Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Periodic Table Online content $4.95 $1.99
Add to cart
Study Briefs
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
Algebra Online content $4.95 $1.99
Customers also bought

Book details

List price: $204.40
Edition: 2nd
Copyright year: 2006
Publisher: Prentice Hall PTR
Publication date: 7/14/2005
Binding: Hardcover
Pages: 656
Size: 8.00" wide x 10.00" long x 1.25" tall
Weight: 3.696
Language: English

David Arnold is professor emeritus of Asian and global history in the Department of History at the University of Warwick. Among his numerous works are Science, Technology and Medicine in Colonial India; Gandhi; and The Tropics and the Traveling Gaze: India, Landscape, and Science, 1800-1856.

Introduction to Differential Equations
Differential Equation Models
The Derivative
First-Order Equations
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
The Daredevil Skydiver
Modeling and Applications
Modeling Population Growth
Models and the Real World
Personal Finance
Electrical Circuits
The Spruce Budworm
Social Security, Now or Later
Second-Order Equations
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
Nonlinear Oscillators
The Laplace Transform
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
Forced Harmonic Oscillators
Numerical Methods
Euler's Method
Runge-Kutta Methods
Numerical Error Comparisons
Practical Use of Solvers
Numerical Error Comparison
Matrix Algebra
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
An Introduction to Systems
Definitions and Examples
Geometric Interpretation of Solutions
Qualitative Analysis
Linear Systems
Properties of Linear Systems
Long-Term Behavior of Solutions
Linear Systems with Constant Coefficients
Overview of the Technique
Planar Systems
Phase Plane Portraits
The Trace-Determinant Plane
Higher-Dimensional Systems
The Exponential of a Matrix
Qualitative Analysis of Linear Systems
Higher-Order Linear Equations
Inhomogeneous Linear Systems
Phase Plane Portraits
Oscillations of Linear Molecules
Nonlinear Systems
The Linearization of a Nonlinear System
Long-Term Behavior of Solutions
Invariant Sets and the Use of Nullclines
Long-Term Behavior of Solutions to Planar Systems
Conserved Quantities
Nonlinear Mechanics
The Method of Lyapunov
Predator-Prey Systems
Human Immune Response to Infectious Disease
Analysis of Competing Species
Series Solutions to Differential Equations
Review of Power Series
Series Solutions Near Ordinary Points
Legendre's Equation
Types of Singular Points-Euler's Equation
Series Solutions Near Regular Singular Points
Series Solutions Near Regular Singular Points-The General Case
Bessel's Equation and Bessel Functions
Complex Numbers and Matrices
Answers to Odd-Numbered Problems
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.