Question

The order and degree of the differential equation `(dy/dx)^3 + ((d^3y)/dx^3) + xy = 0` are respectively ______

Options

• 2 and 3

• 3 and 1

• 3 and 2

• 1 and 3

Answer 1

The order and degree of the differential equation `(dy/dx)^3 + ((d^3y)/dx^3) + xy = 0` are respectively 3 and 1.

Explanation:

Here, the highest order derivative is `(d^3y)/(dx^3)` with power 1.

∴ order = 3 and degree = 1