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.

Category:Differential equations