In mathematics, the term “Ordinary Differential Equations” also known as ODE is an equation that contains only one independent variable and one or more of its derivatives with respect to the variable. In other words, the ODE is represented as the relation having one independent variable x, the real dependent variable y, with some of its derivatives.
y’,y”, ….yn ,…with respect to x.
An ordinary differential equation is an equation which is defined for one or more functions of one independent variable and its derivatives. It is abbreviated as ODE. y’ = x + 1 is an example of ODE.
There are basically three types of ODEs:
(i) Autonomous Ordinary Differential Equations
(ii) Linear Ordinary Differential Equations
(iii) Non-linear Ordinary Differential Equations