Remarks on a Lie Theorem on the Integrability of Differential Equations in Closed Form

@article{Kozlov2005RemarksOA,
  title={Remarks on a Lie Theorem on the Integrability of Differential Equations in Closed Form},
  author={V. V. Kozlov},
  journal={Differential Equations},
  year={2005},
  volume={41},
  pages={588-590}
}
is integrable by quadratures [1] (for details, see also [2, 3]). More precisely, all of its solutions can be found by “algebraic operations” (including inversion of functions) and “quadratures,” that is, computation of integrals of known functions of one variable. This definition has a local nature. The algebra g generates an n-dimensional solvable Lie group G that acts freely on R. Relations (1) imply that the transformations in G take the trajectories of system (2) to trajectories of the same… CONTINUE READING

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