Group Classification of a family of second-order differential equations

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219849We find the group of equivalence transformations for equations of the form $y''= A(x)y' + F(y),$ where $A$ and $F$ are arbitrary functions. We then give a complete group classification of these families of equations, using a direct method of analysis, together with the equivalence transformations.13 pagesAnalysis of PDEsClassical Analysis and ODEs34C20; 58J70; 76M60Group Classification of a family of second-order differential equationstext