# Laplace's Equation

1. Aug 3, 2009

### phenolic

1. The problem statement, all variables and given/known data

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

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

2. Relevant equations

3. The attempt at a solution

2. Aug 4, 2009

### gabbagabbahey

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