Question

Degree of the given differential equation

`(("d"^3"y")/"dx"^2)^2 = (1 + "dy"/"dx")^(1/3)` is

Options

• 2

• 3

• `1/2`

• 6

Answer 1

6

Explanation:

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

`=> (("d"^2"y")/"dx"^3)^6 = 1 + "dy"/"dx"`

Here, the highest order derivative is `("d"^3"y")/"dx"^3` with power 6.

∴ degree = 6