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Handbook of Exact Solutions for Ordinary Differential Equations 1995 CRC Press
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Item specifics
- Condition
- Subject Area
- Mathematics
- Custom Bundle
- No
- Personalized
- No
- Country/Region of Manufacture
- United States
- Subject
- Differential Equations / General, Applied
- ISBN
- 9780849394386
- Publication Name
- Handbook of Exact Solutions for Ordinary Differential Equations
- Publisher
- CRC Press LLC
- Item Length
- 10.4 in
- Publication Year
- 1995
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.7 in
- Item Weight
- 51.1 Oz
- Item Width
- 7.5 in
- Number of Pages
- 720 Pages
About this product
Product Identifiers
Publisher
CRC Press LLC
ISBN-10
0849394384
ISBN-13
9780849394386
eBay Product ID (ePID)
297548
Product Key Features
Number of Pages
720 Pages
Language
English
Publication Name
Handbook of Exact Solutions for Ordinary Differential Equations
Publication Year
1995
Subject
Differential Equations / General, Applied
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
1.7 in
Item Weight
51.1 Oz
Item Length
10.4 in
Item Width
7.5 in
Additional Product Features
Edition Number
1
Intended Audience
Scholarly & Professional
LCCN
95-001021
Dewey Edition
21
Illustrated
Yes
Dewey Decimal
515.352
Table Of Content
Annotation Foreward Some Remarks and Notation First Order Differential Equations Simplest Equations with Arbitrary Functions Integrable in a Closed Form Riccati Equations: g(y)y'x = f2(x)y2 + f1(x)y + f0(x) Abel Equations of the Second Kind Equations Containing Polynomial Functions of y Nonlinear Equations of the Form f(x,y)y'x = g(x,y) Containing Arbitrary Parameters Equations Not Solved for Derivative Equations of the Form F(x,y)y'x = G(x,y) Containing Arbitrary Functions Equations of the Form F(x,y,y'x) = 0 Not Solved for the Derivative and Containing Arbitrary Functions Second Order Differential Equations Linear Equations Autonomous Equations y"xx = F(y,y'x) Emden-Fowler Equation y"xx = Axnym Equations of the Form y"xx = A1xn1ym1 + A2xn2ym2 Generalized Emden-Fowler Equation y"xx = Axnym(y'x)l Equations of the Form y"xx = A1xn1ym1(y'x)l1 + A2xn2ym2(y'x)l2 Equations of the Form y"xx = f(x)g(y)h(y'x) Some Nonlinear Equations with Arbitrary Parameters Equations Containing Arbitrary Functions Third Order Differential Equations Linear Equations Equations of the Form y'"xxx = Axayß(y'x)g(y"xx)d Equations of the Form y'"xxx = f(y)g(y'x)h(y"xx) Some Nonlinear Equations with Arbitrary Parameters Nonlinear Equations Containing Arbitrary Functions Fourth Order Differential Equations Linear Equations Nonlinear Equations Higher Order Differential Equations Linear Equations Nonlinear Equations Supplement 1. Some Elementary Functions and Their Properties Trigonometric Functions Hyperbolic Functions Inverse Trigonometric Functions Inverse Hyperbolic Functions Some Conventional Symbols Supplement 2. Some Special Functions Gamma-Function Bessel Functions Jn and Yn Modified Bessel Functions In and Kn Degenerate Hypergeometric Functions Legendre Functions The Weierstrass Function References Index
Synopsis
Exact solutions have always played and still play an important role in properly understanding the qualitative features of many phenomena. The Handbook of Exact Solutions for Ordinary Differential Equations contains a collection of more than 5,000 ordinary differential equations and their solutions. Coverage focuses on two types of equations: those that are of interest to researchers but are difficult to integrate (Abel equations, Emden-Fowler equations, Painlevé equations, etc.), and equations relevant to applications in heat and mass transfer, nonlinear mechanics, hydrodynamics, nonlinear oscillations, combustion, chemical engineering, and other related fields. The authors also pay special attention to equations containing arbitrary functions, and devote other sections to equations contain one or more arbitrary parameters that the reader can fix at will., Exact solutions have always played and still play an important role in properly understanding the qualitative features of many phenomena. The Handbook of Exact Solutions for Ordinary Differential Equations contains a collection of more than 5,000 ordinary differential equations and their solutions. Coverage focuses on two types of equations: those that are of interest to researchers but are difficult to integrate (Abel equations, Emden-Fowler equations, Painlev equations, etc.), and equations relevant to applications in heat and mass transfer, nonlinear mechanics, hydrodynamics, nonlinear oscillations, combustion, chemical engineering, and other related fields. The authors also pay special attention to equations containing arbitrary functions, and devote other sections to equations contain one or more arbitrary parameters that the reader can fix at will.
LC Classification Number
QA372.P725 1995
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