$\dfrac {dy}{dx}=\sin(x)$ is separable, but I also think that

$\dfrac {dy}{dx}=2\ln(x)y$ is separable as well

$\dfrac{dy}{y} = 2\ln(x) dx$

maybe it's supposed to be

$\dfrac{dy}{dx}=2\ln(xy)$

If that's the case then no, it's not separable either.