Abstract
In these lectures, I want to illustrate an application of symmetry ideas to integration of differential equations. Basically, we will consider only differential equations of finite type, i.e. equations with finite-dimensional space Sol of (local) solutions. Ordinary differential equations make up one of the main examples of such equations.
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The research was partially supported by Grant RFBR No. 18-29-10013.
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Lychagin, V.V. (2021). Symmetries and Integrals. In: Ulan, M., Schneider, E. (eds) Differential Geometry, Differential Equations, and Mathematical Physics. Tutorials, Schools, and Workshops in the Mathematical Sciences . Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-63253-3_3
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