2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218140We classify all the centers of a planar weight-homogeneous polynomial vector field of weight degree 1, 2, 3 and 4.Dynamical Systems34C35, 58F09, 34D30On the centers of the weight-homogeneous polynomial vector fields on the planetext