Select and write the correct answer from the given alternatives in each of the following sub-questions :
The order and degree of the differential equation `[1+((dy)/(dx))^(3)]^(7//3)=7((d^(2)y)/(dx^(2)))` are respectively.

Options

A. 2,3
B. 3,2
C. 2,2
D. 3,3

Answer

A

Explanation

Given equation is ,
`[1+((dy)/(dx))^(2)]^(7//3)=7((d^(2)y)/(dx^(2)))`
On cubing both sides, we get
`[1+((dy)/(dx))^(3)]^(7)=(7)^(3)((d^(2)y)/(dx^(2)))^(3)`
order = 2, degree = 3
Hence, correct answer from the given alternatives is (a).