Singular Solutions of Clairaut Equations


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A relationship is established between singular solutions of the Clairaut equation in the theory of ordinary differential equations and singular solutions of the Clairaut equation in the theory of partial differential equations. It is shown that exact relationships exist between Legendre transformations in classical mechanics and Clairaut equations.

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O. Zyryanova

Tomsk State Pedagogical University

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Email: zyryanova@tspu.edu.ru
俄罗斯联邦, Tomsk

V. Mudruk

Bauman Moscow State Technical University

Email: zyryanova@tspu.edu.ru
俄罗斯联邦, Moscow

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