Can you give a suitable substitution to solve this equation?

dy/dx= y^2 / (xy+ (x.y^2)^1/3)

Thanks

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- Sep 25th 2007, 07:14 AMDilidifferential equaton
Can you give a suitable substitution to solve this equation?

dy/dx= y^2 / (xy+ (x.y^2)^1/3)

Thanks - Sep 25th 2007, 10:31 AMKrizalid
It is a Bernoulli's Differential equation.

You can rearrange it as $\displaystyle \frac{dx}{dy}$, and solve for $\displaystyle x$