论文信息 - Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs (Part I: Abel's equations)

Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs (Part I: Abel's equations)

Abstract We provide a mathematical technique leading to the construction of exact analytic solutions of the classes of Abel’s nonlinear ordinary differential equations (ODEs) of the second kind, as well as of the restricted form of the Abel nonlinear ODE of the first kind.

Dimitrios E. Panayotounakos | D. Panayotounakos

[1] A. Polyanin,et al. Handbook of Exact Solutions for Ordinary Differential Equations , 1995 .

[2] E. Kamke. Differentialgleichungen : Lösungsmethoden und Lösungen , 1977 .

[3] H. Davis. Introduction to Nonlinear Differential and Integral Equations , 1964 .

[4] I. S. Gradshteyn,et al. Table of Integrals, Series, and Products , 1976 .