2003•Unpublished venueRequires access

A Note About Ciosed Integrability Conditions of First Order Nonlinear Diffrential Equation of the 1 st Kind

Feng Lü

Abstract

The by this paper is sufficient for first order nonlinear differential equation of the 1 stkind y′=p(x) y +q(x) yμ+r(x) +∑n i=2 fi(x) yi to be closed integrability.The resultobtained generalize and unify theorem1 and theorem2 in the literature [1 ] ,and explains that some latest results of integrable for wellkown Abel equation and Riccati rquation are special cases of its outcome.

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Key concepts: Integrable system, Riccati equation, Mathematics, Order (exchange), Nonlinear system, Differential equation, Pure mathematics, Mathematical analysis