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(R,\theta)=T_0, T(\infty,\theta)=0 $ and $C, T_0, R$ are constant.
I would like to find $\frac{\partial T}{\partial r}$ where $r=R$ from the equation.
How can I solve this?
If it is impossible, can I get help solving using Matlab or other numerical methods? Thank you so much!