Question

The degree of the differential equation `("d"^4"y")/"dx"^4 + sqrt(1 + ("dy"/"dx")^4)` = 0 is

Options

• 1

• 2

• 3

• 4

Answer 1

2

Explanation:

`("d"^4"y")/"dx"^4 + sqrt(1 + ("dy"/"dx")^4)` = 0

`=> (("d"^4"y")/"dx"^4)^2 = [- sqrt(1 + ("dy"/"dx")^4)]^2`

`=> (("d"^4"y")/"dx"^4)^2 = 1 + ("dy"/"dx")^4`

Here, the highest order derivative is `("d"^4"y")/"dx"^4` with power 2.

∴ degree = 2.