2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124132We present an algorithm for finding all time-reversible systems within a given family of 2-dim systems of ODE's whose right-hand sides are polynomials. We also study an interconnection of time-reversibility and invariants of a subgroup of SL(2,C).Dynamical SystemsMathematical Physics34C; 37F10; 13P10; 13A50text