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

V. V. Dmitrieva, R. A. Sharipov

solv-intarXiv:solv-int/9703003

Abstract

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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