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Handbook of Ordinary Differential Equations

Exact Solutions, Methods, and Problems

Edited by: Andrei D. Polyanin , Valentin F. Zaitsev

Print publication date:  November  2017
Online publication date:  November  2017

Print ISBN: 9781466569379
eBook ISBN: 9781315117638
Adobe ISBN:

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Book description

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available.

Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more.

This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.

Table of contents

Prelims Download PDF
Chapter  1:  Chapter 1: Methods for first-order differential equations Download PDF
Chapter  2:  Chapter 2: Methods for Secondā€Order Linear Differential Equations Download PDF
Chapter  3:  Chapter 3: Methods for Second-Order Nonlinear Differential Equations Download PDF
Chapter  4:  Chapter 4: Methods for Linear ODEs of Arbitrary Order Download PDF
Chapter  5:  Chapter 5: Methods for Nonlinear ODEs of Arbitrary Order Download PDF
Chapter  6:  Chapter 6: Methods for linear systems of ODEs Download PDF
Chapter  7:  Chapter 7: Methods for nonlinear systems of ODES Download PDF
Chapter  8:  Chapter 8: Elements of Bifurcation Theory Download PDF
Chapter  9:  Chapter 9: Elementary theory of using invariants for solving equations Download PDF
Chapter  10:  Chapter 10: Methods for the Construction of Particular Solutions Download PDF
Chapter  11:  Chapter 11: Group Methods for ODES Download PDF
Chapter  12:  Chapter 12: Discrete-Group Methods Download PDF
Chapter  13:  Chapter 13: First-Order Ordinary Differential Equations Download PDF
Chapter  14:  Chapter 14: Second­order ordinary differential equations Download PDF
Chapter  15:  Chapter 15: Third-Order Ordinary Differential Equations Download PDF
Chapter  16:  Chapter 16: Fourth-Order Ordinary Differential Equations Download PDF
Chapter  17:  Chapter 17: Higher-Order Ordinary Differential Equations Download PDF
Chapter  18:  Chapter 18: Some Systems of Ordinary Differential Equations Download PDF
Chapter  19:  Chapter 19: Symbolic and Numerical Solutions of ODES with Maple Download PDF
Chapter  20:  Chapter 20: Symbolic and Numerical Solutions of ODES with Mathematica Download PDF
Chapter  21:  Chapter 21: Symbolic and Numerical Solutions of ODEs with MATLAB Download PDF
Chapter  s1:  Chapter S1: Elementary Functions and Their Properties Download PDF
Chapter  s2:  Chapter S2: lndefinite and Definite Integrals Download PDF
Chapter  s3:  Chapter S3: Tables of Laplace and Inverse Laplace Transforms Download PDF
Chapter  s4:  Chapter S4: Special Functions and Their Properties Download PDF
Index Download PDF
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