The order and degree of the differential equation 3- ( d^3y dx^3 )^ 7/3 = ( dy dx )^5 are respectively

MHT CET 2026 Mathematics question

The order and degree of the differential equation are respectively

(A)3,7Correct
(B)7, 3
(C)5, 7
(D)3, 5

Answer: (A)

Solution

The highest derivative is , so the order is 3. To find the degree, make the equation a polynomial in derivatives: . Cubing both sides removes the fractional power:

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-098522