# Partial differential equation

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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

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