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Über die Differentialgleichungux y=f(x, y, u, ux,uy)

✍ Scribed by Wolfgang Walter

Publisher: Springer-Verlag
Year: 1959
Tongue: French
Weight: 917 KB
Volume: 71
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf01181415

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We provide a contact invariant characterization for equations of the form u xy +a(x, y, u) u x +b(x, y, u) u y +c(x, y, u)=0, u xy +a(x, y) u x +b(x, y) u y +c(x, y, u)=0, We classify all equations of the form u xy + f (x, y, u, u x , u y )=0 for which the two Ovsiannikov's invariants are constants