9780321288356

Elementary Differential Equations with Boundary Value Problems

by ;
  • ISBN13:

    9780321288356

  • ISBN10:

    0321288351

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 3/24/2011
  • Publisher: Pearson

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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 that provides students with the necessary framework to understand and solve differential equations. Theory is presented as simply as possible with an emphasis on how to use it. With an emphasis on linear equations, linear and nonlinear equations (first order and higher order) are treated in separate chapters. In developing mathematical models, this text guides the student carefully through the underlying physical principles leading to the relevant mathematics. Asking students to use common sense, intuition, and 'back-of-the-envelope' checks as well as challenging them to anticipate and interpret the physical content of the solution encourage critical thinking. MARKET: Intended for use in introductory course in differential equations that includes boundary value problems.

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
Table of Contents provided by Publisher. All Rights Reserved.

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