## Separation of variables is a powerful technique that can be used to solve partial differential equations. In Physics 217 we will be using this technique to solve Laplace’s equation.

## Separation of variables relies on the first uniqueness theorem.

## In three dimensions, the potential V will in general depend on three variables: for example V(x, y, z) or V(r,q,f).

## To solve Laplace’s equation we try the following solutions:

- V(x, y, z) = X(x) Y(y) Z(z)
- V(r,q,f) = V(r) a(q) ?(f)

## If you can solve Laplace’s equation using these assumption, you have found THE solution.

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