DEGREE: The degree of differential equation is represented by the power of the highest order derivative in the given differential equation.

The differential equation must be a polynomial equation in derivatives for the degree to be defined and must be free from radicals and fractions.

Examples:

⇒ In example 1 order of differential equation is 2 and its degree is 1.

⇒ In example 2 order of differential equation is 1 and its degree is 2.

⇒ In example 3, the differential equation is not a polynomial equation in derivatives. Hence, the degree for this equation is not defined.