Question

Find the order and degree of the D.E's

Question = d²y/dx² + 2.dy/dx + y = log(dy/dx)

Answer 1

Hello,

Definition of order of differential equation:

The highest order derivative is the order of the equation.

Degree: The highest order derivative raised to which power is known as degree.If the given differential equation is in polynomial form.

So,in present case

d²y/dx² + 2.dy/dx + y = log(dy/dx)

higher order derivative is 2, i.e. d^2y/dx^2

order is 2.

The given differential equation includes log(dy/dx),so degree is not defined.


Order: 2 and degree: not defined

Hope it helps you