Handbook of Exact Solutions for Ordinary Differential Equations

Handbook of Exact Solutions for Ordinary Differential Equations

2003 | Andrei D. Polyanin, Valentin F. Zaitsev
The Handbook of Exact Solutions for Ordinary Differential Equations, Second Edition, authored by Andrei D. Polyanin and Valentin F. Zaitsev, is a comprehensive resource that compiles nearly 6200 ordinary differential equations and their solutions. The book covers a wide range of equations, including those traditionally studied by researchers and those encountered in various applications such as heat and mass transfer, nonlinear mechanics, and chemical engineering. It provides exact, asymptotic, and approximate analytical methods for solving these equations, along with boundary-value and eigenvalue problems. Key features of the second edition include: - 1200 new nonlinear equations with solutions. - An introductory chapter that outlines exact, asymptotic, and approximate analytical methods. - Improved organization with more detailed subsections and paragraphs, enhancing the table of contents for easier navigation. The book is designed to be a valuable resource for scientists, university teachers, engineers, and students in mathematics, physics, mechanics, control, chemistry, and engineering sciences. It includes supplements on the properties of elementary and special functions, such as Bessel, modified Bessel, hypergeometric, and Legendre functions.The Handbook of Exact Solutions for Ordinary Differential Equations, Second Edition, authored by Andrei D. Polyanin and Valentin F. Zaitsev, is a comprehensive resource that compiles nearly 6200 ordinary differential equations and their solutions. The book covers a wide range of equations, including those traditionally studied by researchers and those encountered in various applications such as heat and mass transfer, nonlinear mechanics, and chemical engineering. It provides exact, asymptotic, and approximate analytical methods for solving these equations, along with boundary-value and eigenvalue problems. Key features of the second edition include: - 1200 new nonlinear equations with solutions. - An introductory chapter that outlines exact, asymptotic, and approximate analytical methods. - Improved organization with more detailed subsections and paragraphs, enhancing the table of contents for easier navigation. The book is designed to be a valuable resource for scientists, university teachers, engineers, and students in mathematics, physics, mechanics, control, chemistry, and engineering sciences. It includes supplements on the properties of elementary and special functions, such as Bessel, modified Bessel, hypergeometric, and Legendre functions.
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