2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58521The aim of this paper is to give two new algorithms, which are elimination free, to find polynomial and rational solutions for a given holonomic system associated to a set of linear differential operators in the Weyl algebra D = k<x_1, ..., x_n, dx_1, ..., dx_n> where k is a subfield of the complex numbers.20 pagesAlgebraic GeometryAnalysis of PDEs35C05 (Primary), 14Q99, 33F10, 35N10 (Secondary)text