2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163702We apply a novel method for the equivalence group and its infinitesimal generators to the investigation of invariants of linear ordinary differential equations. First, a comparative study of this method is illustrated by an example. Next, the method is used to obtain the invariants of low order linear ordinary differential equations, and the structure invariance group for an arbitrary order of these equations. Other properties of these equations are also discussed, including the exact number of their invariants.12 pagesAnalysis of PDEsClassical Analysis and ODEs58J70; 34C20; 35A30text