Definition and Classification of first order linear differential equation

Differential equation is an equation involving one or more derivatives of unknown function, and / or equations that may also involve itself functions and constants. Of derivatives that make up the differential equation will determine the type of classification differential equation itself.

Classification of Differential Equations

In general, in mathematics show that there are differential equations that involve ordinary derivatives, and there are elements that contain the partial derivatives. Similarly, there is a constant variable and there are variables rather than constants. Based on this, the classification of differential equations can be grouped based on variables involved, the type of function derivatives, and the type of similarity coefficient equation.

• Linear ordinary differential equations, where the equation contains only one free variable x, one is not free variable y, and the highest rank of the derivative function in this equation is the one. Linear ordinary differential equations can be divided into homogeneously ordinary differential equations and non-homogeneous ordinary differential equations.
• Non-linear ordinary differential equations, where the equation contains only one free variable x and one free variable y so that the equation does not contain a derivative function is greater than one. Non-linear ordinary differential equations can be divided into ordinary differential equations, non linear homogeneously and non-linear ordinary differential equations non-homogeneously.
• Partial differential equations, when the equation involves two or more free variables, one variable is free, and contains the partial derivatives.