here is the equation:
$r$, and $\phi$ are cylindrical coordinates. $\phi$ is the angle off the x-axis. So it ranges from (0,2$\pi$). And $\beta$ is a constant.
$\alpha$ is also an angle that ranges from (0,2$\pi$)
Does anyone know how to solve this sort of an equation?
References, like a handbook of differential equations or something would be appreciated as well.
I've used Mathematica and it does give a solution. But I would like to see a derivation.