A **Partial differential equation** is a type of differential equation which relates a multivariable function to its partial derivatives. They are very commonly used in engineering and physics.

## Examples

- $ \frac{\part U}{\part x}+\frac{\part U}{\part y}+U=0 $
- $ \frac{\part^2U}{\part x^2}+\frac{\part U}{\part x}+xU=\frac{\part U}{\part y} $
- $ \frac{\part^2U}{\part x^2}+\frac{\part^2U}{\part y^2}=xy $

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