The order and degree of the differential equation (1 + 3dy/dx)^2/3 = 4d^3y/dx^3 are

The order and degree of the differential equation (1 + 3dy/dx)2/3 = 4d3y/dx3 are

  1. (3, 3)
  2. (3, 1)
  3. (1, 2)
  4. (1, 2/3)

Answer

The equation can be rewritten as

(1 + 3dy/dx)2 = (4d3y/dx3)3

This shows the order and degree of the equation are 3 and 3.

The correct option is A.