Quadratic vector fields with invariant algebraic curve of large degree

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228875We construct a polynomial planar vector field of degree two with one invariant algebraic curves of large degree. We exhibit an explicit quadratic vector fields which invariant curves of degree nine, twelve, fifteen and eighteen degree.Dynamical Systems34C05, 34A34, 34C14Quadratic vector fields with invariant algebraic curve of large degreetext