Differential invariants of 2--order ODEs, I

Details Differential invariants of 2--order ODEs, I Differential invariants of 2--order ODEs, I

2008-04-04

arxiv.org/abs/0804.0674v1

Mathematics

Differential Geometry

31 pages

Scientific paper

In this paper, we investigate the action of pseudogroup of all point
transformations on the natural bundle of equations
$y''=a^3(x,y)(y')^3+a^2(x,y)(y')^2+a^1(x,y)y'+a^0(x,y)$. We construct
differential invariants of this action and solve the equivalence problem for
some classes of these equations in particular for generic equations.

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