# Solution of this non-linear equation

1. Aug 16, 2005

### eljose

i,m stuck into solving this differential equation:

$$\frac{dy}{dx}f(y)=1$$ 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)

Last edited: Aug 16, 2005
2. Aug 16, 2005

### arildno

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)

3. Aug 16, 2005

### GCT

errr...have you considered whether it's separable?