Method of order reduction in second-order differential equations line with GeoGebra

Proceedings of ‏The 2nd World Conference on Research in Teaching and Education

Year: 2020

DOI: https://www.doi.org/10.33422/2nd.worldte.2020.09.242

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Method of order reduction in second-order differential equations line with GeoGebra

Jorge Olivares Funes, Elvis Ronald Valero Kari

ABSTRACT: 

Various authors have released the wonderful animated applets that can be built from Several authors have shown the wonderful animated applets that can be built from certain content for teaching and learning, as for example Tom Walsh (1), Dan MacIsaac (2).These authors in their work tell us how friendly it is to have GeoGebra applets in favoring the understanding of the content that one intends to teach.In this papers, the GeoGebra applets will show how the second algebraic and graphical solution of a second order linear equation is, when order reduction is applied, which already has a known solution.Reducing the order itself is of great help in ODEs, since in some cases it is not so easy to calculate the solutions of the homogeneous part of an ED, so the GeoGebra software gives us all its potential and dynamism to to be able to visualize these solutions through their applets and instruction commands.All these applets were built as teaching support material for the differential equations course of engineering careers at the University of Antofagasta, during the year 2020.

Keywords: applets; differential equation; GeoGebra; order reduction; teaching.