Las ecuaciones de Pfaff

Abstract

Pfaff equations are a type of differential equations that appear in some Physical and Geometric problems. In the present project a detailed study of the Pfaff equations is carried out with the aim of describing and solving these equations whenever possible. Therefore, the conditions both necessary and sufficient, for the existence of solution are obtained, as well as the explanation of different resolution methods. On the other hand, it shows some of its applications and analyzes the relation that it keeps with the differential 1-forms. Moreover, in order to provide a better understanding of the content several specific examples are also provided.