How can the differential quartic equation be solved with constants B and C?

[JulieK]

How to solve this differential equation

$\left(\frac{dy}{dx}\right)^{4}+B\left(\frac{dy}{dx}\right)^{3}+C=0$

where $B$ and $C$ are constants.

 

[Simon Bridge]

The LHS is a quartic equation in dy/dx - find the roots (there's four).

 

[berkeman]

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