# Partial differential Equations

In the post, we define Partial differential Equations and also provide related examples so that the learners van understand the concept easily.

### Partial differential Equations

A differential equation involving partial derivatives of the dependent variables with respect to more than one independent variable  is called ordinary differential equations.

Examples:

1. $\frac{d^2y}{dx^2}+\lambda&space;y=0$
2. $y^2&space;\frac{\partial&space;z}{\partial&space;x}+y&space;\frac{\partial&space;z}{\partial&space;y}=ax$
3. $x&space;\frac{\partial&space;z}{\partial&space;x}+y&space;\frac{\partial&space;z}{\partial&space;y}=nx$
4. $\frac{\partial^2&space;u}{\partial&space;x^2}+&space;\frac{\partial^2u}{\partial&space;y^2}+&space;\frac{\partial^2u}{\partial&space;z^2}=0$