2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224815We give a shorter proof to a recent result by Neuberger, in the real case. Our result is essentially an application of the global asymptotic stability Jacobian Conjecture. We also extend some of the results presented in Neuberger.Algebraic GeometryDynamical Systems14R15; 34C08A note on the divergence-free Jacobian Conjecture in R^2text