Question

The order and degree of the differential equation `[1 + 1/("dy"/"dx")^2]^(5/3) = 5 ("d"^2y)/"dx"^2` are respectively.

विकल्प

• 3, 2

• 5, 2

• 2, 5

• 2, 3

Answer 1

2, 3

Explanation:

Given, equation

`[1 + 1/("dy"/"dx")^2]^(5/3) = 5 ("d"^2y)/"dx"^2`

`[1 + 1/("dy"/"dx")^2]^5 = 125 (("d"^2y)/"dx"^2)^3`

∴ order = 2 degree = 3