Exploring differential equations via graphics and data
著者
書誌事項
Exploring differential equations via graphics and data
Wiley, c1996
Prelim. ed
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注記
Includes index
内容説明・目次
内容説明
Encouraging the student to experiment and explore in order to understand the concepts of ordinary differential equations, this text explains how to determine properties of a solution directly from the differential equation. Wherever possible, concepts are explored graphically, algebraically, numerically, and descriptively. The authors assume that the user has access to mathematical software that draws slope fields, generates numerical solutions, and allows data and graphs of functions to be displayed simultaneously.
目次
- Basic Concepts
- Autonomous Differential Equations
- General First Order Differential Equations
- Separable Differential Equations and Applications
- Applications Leading to New Techniques
- First Order Linear Differential Equations and Applications
- Second Order Differential Equations with Constant Coefficients
- Applications
- Second Order Linear Differential Equations
- Generalized Power Series Solutions
- Nonhomogeneous Second Order Linear Differential Equations
- Autonomous Systems
- Systems of Ordinary Differential Equations.
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