Briot-Bouquet Equation

An Ordinary Differential Equation of the form

$$x^my'=f(x,y),$$

where $m$ is a Positive Integer, $f$ is Analytic at $x=y=0$, $f(0,0)=0$, and $f_y'(0,0)\not=0$.

References

Hazewinkel, M. (Managing Ed.). Encyclopaedia of Mathematics: An Updated and Annotated Translation of the Soviet ``Mathematical Encyclopaedia.'' Dordrecht, Netherlands: Reidel, pp. 481-482, 1988.