Algebraic and qualitative remarks about the family yy′ = (αxm+k–1 + βxm–k–1)y + γx2m–2k–1

Abstract

The aim of this paper is the analysis, from algebraic point of view and singularities studies, of the 5-parametric family of differential equations

Keywords

• critical points
• integrability
• gegenbauer equation
• legendre equation
• liénard equation
• primary 12h05
• secondary 34c99