Solving Laplace's Equation with Separation of Variables

[phenolic]

Homework Statement

\frac{1}{s} \frac{\partial }{\partial s} (\{s} \frac{\partial V}{\partial s}) + \frac{1}{s^2} \cdot \frac{\partial^2 V}{\partial \phi^2}

When you do separation of variables what happens to the \frac{1}{s} and the \frac{1}{s^2} after you divide through by \Phi and S to come up with a solution

Homework Equations

The Attempt at a Solution

 

[gabbagabbahey]

Just multiply the entire equation by s^2 in order to obtain terms that involve only s or only \phi