Geodesic
The motions of algebraic differential equations
Glasgow mathematical journal, Tome 25 (1984) no. 1, pp. 93-96

Voir la notice de l'article provenant de la source Cambridge University Press

We confine ourselves, for simplicity, to first-order algebraic differential equations (ADE's), although analogous considerations may be made for higher-order ADE's:P(x, y(x), y'(x)) = 0. (*)A motion of (*) is a change of independent variable that takes solutions to solutions, that is, a suitable map <p of the underlying interval I into itself so that if y is a solution of (*) then y ° φ is a solution of (*), i.e. 
Rubel, Lee A. The motions of algebraic differential equations. Glasgow mathematical journal, Tome 25 (1984) no. 1, pp. 93-96. doi: 10.1017/S0017089500005450
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[1] 1.Burnside, W. S. and Panton, A. W., Theory of equations (Dublin, 1904). (Also Dover reprint.) Google Scholar

[2] 2.Ritt, J. F., Integration in finite terms (Columbia U. P., 1948). Google Scholar | DOI

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