Revistes Catalanes amb Accés Obert (RACO)

Differential equations on the plane with given solutions

Rafael Ramírez, Natalia Sadovskaia


The aim of this paper is to construct the analytic vector fields on the plane with given as trajectories or solutions. In particular we construct the polynomial vector field from given conics (ellipses, hyperbola, parabola, straight lines) and determine the differential equations from a finite number of solutions.

Text complet: PDF