Q. 3

Define degree of a differential equation

Answer :

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.


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