# Thread: Difference b/w autonomous and separabale

1. ## Difference b/w autonomous and separabale

Hello everyone,

If an autonomous ODE is given by dy/dx = f(y)
and a separable ODE is given by dy/dx = f(x)f(y)

then all autonomous ODEs are separable? Is this right?

Thanks

2. ... it is self evident that the case $\frac{dy}{dx}= f(y)$ is a particular case of $\frac{dy}{dx}= g(x)\cdot f(y)$ with $g(x)=1$ ...

Kind regards

$\chi$ $\sigma$