Elementary Differential Equations Bound with IDE CD Package

by Kohler, Werner E.; Johnson, Lee W.

• ISBN13: 9780321398499
• ISBN10: 0321398491
• Edition: 2nd
• Format: Package
• Copyright: 2005-09-28
• Publisher: Pearson

Summary

Elementary Differential Equations with Boundary Value Problemsintegrates the underlying theory, the solution procedures, and the numerical/computational aspects of differential equations in a seamless way. For example, whenever a new type of problem is introduced (such as first-order equations, higher-order equations, systems of differential equations, etc.) the text begins with the basic existence-uniqueness theory. This provides the student the necessary framework to understand and solve differential equations. Theory is presented as simply as possible with an emphasis on how to use it. The Table of Contents is comprehensive and allows flexibility for instructors.

Table of Contents

Introduction to Differential Equations

Examples of Differential Equations

Direction Fields

First Order Differential Equations

Introduction

First Order Linear Differential Equations

Introduction to Mathematical Models

Population Dynamics and Radioactive Decay

First Order Nonlinear Differential Equations

Separable First Order Equations

Exact Differential Equations

The Logistic Population Model

Applications to Mechanics

Euler's Method

Review Exercises

Second and Higher Order Linear Differential Equations

Introduction

The General Solution of Homogeneous Equations

Constant Coefficient Homogeneous Equations

Real Repeated Roots; Reduction of Order

Complex Roots &nbs

Table of Contents provided by Publisher. All Rights Reserved.