# How can I solve this PDE?

I got the following equation from physics.

$$C \sin \theta \frac{\partial T}{\partial \theta} = \frac{1}{r} \frac{\partial }{\partial r} \left( r \frac{\partial T}{\partial r} \right)$$ where boundary conditions are

$$T=T_w$$ for $$r,

$$T=T_0$$ where $$r \rightarrow\infty$$,

and $$C, T_0, T_w, r_0$$ are constant.

(Symmetrical for all $$\theta$$)

I would like to find $$\frac{\partial T}{\partial r}$$ where $$r=r_0$$ from the equation.

How can I solve using Mathematica? Thank you so much!