S.Duzhin, V.Lychagin.
Symmetries of Distributions and Quadrature of Ordinary Differential
Equations.
We present a geometric exposition of S.Lie's and E.Cartan's
theory of explicit integration of finite type (in particular,
ordinary) differential equations. Numerous examples of how this theory
works are given. In one of these, we propose a method of hunting for
particular solutions of partial differential equations via
symmetry preserving overdetermination.