Differential Equation

A differential equation is a relation adding derivatives of a function.

Explanation:
 
are some examples of differential equations.
The order of the highest derivative seems in a differential equation is known as the order of the differential equation. The degree of a differential equation is the algebraic degree (power) of the highest derivative showing in the differential equation, when each of the derivatives operating in the equation is free from fractional powers. In the above explanation,

Differential equation (1) is of first order and first degree,

Differential equation (2) is of order 3 and degree 1,

Differential equation (3) is of order 3 and degree 2,

and differential equation (4) is of order 2 and degree 2.