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

its been a while since I had diff eq and this problem came up, could i get some help please?

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- August 28th 2011, 08:56 PM #1

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- August 28th 2011, 09:00 PM #2

- August 28th 2011, 09:00 PM #3

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- August 29th 2011, 12:37 AM #4
## Re: dy/dx= x / (x^2y+y^3)

Writing the DE in different way, changing the role of x and y, You obtain...

(1)

... which is 'Bernoulli type'. The solving procedure is illustrated in...

Bernoulli Differential Equation -- from Wolfram MathWorld

It is remarkable the fact that a Bernoulli equation has standard form...

(2)

... and the solving procedure is valid also when n is a negative number like in this case [n=-1...]

Kind regards

- August 29th 2011, 12:48 AM #5