The linear complete differential resultant of a finite set of linear ordinary differential polynomials is defined. We study the computation by linear complete differential resultants of the implicit equation of a system of n linear differential polynomial parametric equations in n - 1 differential parameters. We give necessary conditions to ensure properness of the system of differential polynomial parametric equations. 							
						
							
					 															
					Sonia L. Rueda, J. Rafael Sendra