Description

Book Synopsis
This text provides lively reading, with compelling applications, projects, and experiments that supply readers with opportunities to explore the relationship between the parameters in a differential equation and the process it models. Its goal is to teach readers to use differential equation as an investigative tool, not just to verify results.

Table of Contents
Basic Concepts.

Autonomous Differential Equations.

First Order Differential Equations -
Qualitative and Quantitative Aspects.

Models and Applications Leading to New Techniques.

First Order Linear Differential Equations and Models.

Interplay Between First Order Systems and Second OrderEquations.

Second Order Linear Differential Equations with ForcingFunctions.

Second Order Linear Differential Equations -
Qualitative and Quantitative Aspects.

Linear Autonomous Systems.

Nonlinear Autonomous Systems.

Using Laplace Transforms.

Using Power Series.

Appendices.

Answers.

Index.

Student Solutions Manual To Accompany

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    A Paperback / softback by David O. Lomen, David Lovelock

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      Publisher: John Wiley & Sons Inc
      Publication Date: 18/11/1998
      ISBN13: 9780471327592, 978-0471327592
      ISBN10: 047132759X
      Also in:
      Mathematics

      Description

      Book Synopsis
      This text provides lively reading, with compelling applications, projects, and experiments that supply readers with opportunities to explore the relationship between the parameters in a differential equation and the process it models. Its goal is to teach readers to use differential equation as an investigative tool, not just to verify results.

      Table of Contents
      Basic Concepts.

      Autonomous Differential Equations.

      First Order Differential Equations -
      Qualitative and Quantitative Aspects.

      Models and Applications Leading to New Techniques.

      First Order Linear Differential Equations and Models.

      Interplay Between First Order Systems and Second OrderEquations.

      Second Order Linear Differential Equations with ForcingFunctions.

      Second Order Linear Differential Equations -
      Qualitative and Quantitative Aspects.

      Linear Autonomous Systems.

      Nonlinear Autonomous Systems.

      Using Laplace Transforms.

      Using Power Series.

      Appendices.

      Answers.

      Index.

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