2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134459In this paper we shall study differential equations in the complex domain. The method of indeterminate coefficients and the majorant method lead to a proof of the existence and uniqueness of meromorphic solution of differential equations. We discuss their connection with the concept of algebraic integrability systems.21 pagesClassical Analysis and ODEsMathematical Physics34M05, 34M45, 70H06.text