Linear differential equation

In mathematics, a linear differential equation is a differential equation that is stated by a linear polynomial in the unknown function and its derivatives. It is an equation of the form:
where and are random differential functions that do not need to be linear. And are the derivatives of an unknown function that follow after the variable .
This equation is an ordinary differential equation (ODE). A "linear differential equation" may also be a linear partial differential equation (PDE), if the unknown function depends on several variables. And the derivatives that show in the equation are partial derivatives.