Elementary Differential Equations Bound with IDE CD Package

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  • Edition: 2nd
  • Format: Package
  • Copyright: 2005-09-28
  • Publisher: Pearson

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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
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
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.

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