In Mathematics, the representations are understood as symbolic notations, graphics or verbal expressions, through which the most relevant concepts, procedures, characteristics and properties in this science are expressed. In this paper, in the context of Duval's Theory of Semiotic Representations, we use GeoGebra Applets as a teaching innovation tool that allows us to describe a form of conversion between algebraic and graphical semiotic representation registers of the solutions of sixth order linear differential equations, with the purpose of facilitating the process of its understanding and analysis.