Question

The order and degree of the differential equation `(d^3y)/dx^3 + (d^2 y)/(dx^2) + (dy/dx)^2 = 3` is ______.

Options

• order 3 and degree 1

• order 1 and degree 3

• order 2 and degree 1

• order 2 and degree 2

Answer 1

The order and degree of the differential equation `(d^3y)/dx^3 + (d^2 y)/(dx^2) + (dy/dx)^2 = 3` is order 3 and degree 1.

Explanation:

`(d^3y)/dx^3 + (d^2 y)/(dx^2) + (dy/dx)^2 = 3`

Order = 3

degree = 1

∴ Option order 3 and degree 1 is correct.