An algorithm for solving partial differential parametric systems Original Research Article

For a partial differential parametric systemP1=0,…,Pr=0, Q1≠0,…,Qs≠0,where Pi,Qj are differential polynomials in K{u1,…,ut,y1,…,yn} and uk are parameters, an algorithm to solve the parametric system is presented in this paper. The algorithm finds not just the values of the parameters uk such that the system has solutions, but also all solutions of this system.