Geodesic
Substitutions in differential equations as a geometry of their symmetries
The Teaching of Mathematics, XXI (2018) no. 1, p. 1

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Classification : 97I70, 97I40 I75
Keywords: ordinary differential equation, symmetries, substitution. 
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Jelena Katić. Substitutions in differential equations as a geometry of their symmetries. The Teaching of Mathematics, XXI (2018) no. 1, p. 1 . http://geodesic.mathdoc.fr/item/TM2_2018_XXI_1_a0/