Second Course in Elementary Differential Equations

ISBN-10: 0486434788

ISBN-13: 9780486434780

Edition: 2004

Authors: Paul Waltman

List price: $18.95 Buy it from $5.53
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


Focusing on applicable rather than applied mathematics, this text begins with an examination of linear systems of differential equations and 2-dimensional linear systems and then explores the use of polar coordinate techniques, Liapunov stability and elementary ideas from dynamic systems. Features an in-depth treatment of existence and uniqueness theorems, more. 1986 edition. Includes 39 figures.
Used Starting from $5.53
New Starting from $16.16
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
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
Business Ethics Online content $4.95 $1.99
Add to cart
Study Briefs
Business Law Online content $4.95 $1.99
Customers also bought

Book details

List price: $18.95
Copyright year: 2004
Publisher: Dover Publications, Incorporated
Publication date: 3/23/2004
Binding: Paperback
Pages: 272
Size: 5.75" wide x 9.25" long x 0.40" tall
Weight: 1.078
Language: English

Systems of Linear Differential Equations
Some Elementary Matrix Algebra
The Structure of Solutions of Homogeneous Linear Systems
Matrix Analysis and the Matrix Exponential
The Constant Coefficient Case: Real and Distinct Eigenvalues
The Constant Coefficient Case: Complex and Distinct Eigenvalues
The Constant Coefficient Case: The Putzer Algorithm
General Linear Systems
Some Elementary Stability Considerations
Periodic Coefficients
Scalar Equations
An Application: Coupled Oscillators
Two-Dimensional Autonomous Systems
The Phase Plane
Critical Points of Some Special Linear Systems
Critical Points of General Two-Dimensional Linear Systems
Behavior of Nonlinear Two-Dimensional Systems Near a Critical Point
Elementary Liapunov Stability Theory
Limit Cycles and the Poincare-Bendixon Theorem
An Example: Lotka-Volterra Competition
An Example: The Simple Pendulum
Existence Theory
The Contraction Mapping Theorem
The Initial Value Problem for One Scalar Differential Equation
The Initial Value Problem for Systems of Differential Equations
An Existence Theorem for a Boundary Value Problem
Boundary Value Problems
Linear Boundary Value Problems
Oscillation and Comparison Theorems
Sturm-Liouville Problems
The Existence of Eigenvalues for Sturm-Liouville Problems
Two Properties of Eigenfunctions
An Alternate Formulation - Integral Equations
Eigenfunction Expansions
The Inhomogeneous Sturm-Liouville Problem
Some Standard Applications of Sturm-Liouville Theory
Nonlinear Boundary Value 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.