Solution of this non-linear equation

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i,m stuck into solving this differential equation:

[tex]\frac{dy}{dx}f(y)=1 [/tex] i,m trying to find an integrand factor but don,t know what to chose to solve it someone could help?..thanks...

EDIT:i,m interested in getting y=y(x) not x=x(y)
 
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arildno
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Let F(y) be an anti-derivative of f(y), i.e F'(y)=f(y).
Hence, it follows that:

F(y)=x+C, where C is an integration constant.

Locally, F should be invertible, i.e, you could in principle solve for y(x)
 
GCT
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errr...have you considered whether it's separable?
 

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