THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
Substitutions in differential equations as a geometry of their symmetries
Jelena Katić

Abstract

We enlighten a geometrical background for familiar substitutions in certain ordinary differential equations. We explain how the existence of a symmetry of a differential equation provides a change of coordinates (i.e., a substitution) in which the initial equation becomes in quadrature form.

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Keywords: Ordinary differential equation; symmetries; substitution.

Pages:  1$-$14     

Volume  XXI ,  Issue  1 ,  2018