2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158122In this paper, we investigate the action of pseudogroup of all point transformations on the natural bundle of equations $y''=a^3(x,y)(y')^3+a^2(x,y)(y')^2+a^1(x,y)y'+a^0(x,y)$. We construct differential invariants of this action and solve the equivalence problem for some classes of these equations in particular for generic equations.31 pagesDifferential GeometryClassical Analysis and ODEs53A55; 53C10; 53C15; 34A30; 34A26; 34C20; 58F35text