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

摘要

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. (c) 2004 Elsevier Ltd. All rights reserved.