On the point transformations for the second order differential equations. I

Details On the point transformations for the second order differential equations. I On the point transformations for the second order differential equations. I

1997-03-06

arxiv.org/abs/solv-int/9703003v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

AmSTeX, Version 2.1, 15 pages

Scientific paper

Point transformations for the ordinary differential equations of the form
$y''=P(x,y)+3 Q(x,y) y'+3 R(x,y) (y')^2+S(x,y) (y')^3$ are considered.
Some classical results are resumed. Solution for the equivalence problem for
the equations of general position is described.

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