On the point transformations for the second order differential equations. I
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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.