Abstract
We show how the differential invariants generated by Elie Cartan's method of equivalence may be used in determining the symmetry groups of second-order ordinary differential equations. This result is then applied to a series of equations which arise in various aspects of mathematical physics.
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Hsu, L., Kamran, N. Symmetries of second-order ordinary differential equations and Elie Cartan's method of equivalence. Letters in Mathematical Physics 15, 91–99 (1988). https://doi.org/10.1007/BF00397829
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DOI: https://doi.org/10.1007/BF00397829