# Evaluating Intensity ratio $I(0,\mu)/I(0,1)$ in non-isotropic region

We are given a problem:

Consider a grey atmosphere in radiative equilibrium. If the total pressure ($$P$$) and energy density ($$u$$) are related by $$P=\frac{u}{\tau^2}$$ in a non-isotropic region, where $$\tau$$ is the optical depth, then obtain $$I(0,\mu)/I(0,1)$$ as a function of $$\mu.$$

Since it's said, that we are considering the grey atmosphere in radiative equilibrium. That means, $$\frac{dF}{d\tau}=0\rightarrow J=S$$ We also have $$\frac{dP}{d\tau}=\frac{F}{c}\rightarrow P=\frac{F}{c}\left(\tau+q\right)$$ But this can't be possible with what are given. Where I'm getting this wrong? Is it possible like $$q=0\ \ \&\ \ \frac{u}{\tau^2}=\frac{F}{c}\tau\rightarrow u=\frac{F}{c}\tau^3$$