The degree and order of the differential equation `[1+((dy)/(dx))^3]^(7/3)=7((d^2y)/(dx^2))` respectively are

Options

A. 3 and 7
B. 3 and 2
C. 7 and 3
D. 2 and 3

Answer

B

Explanation

Given, differential equation is `[1+((dy)/(dx))]^((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))]`
Here, we see that highest order derivative is 2. whose degree is 3.
Hence, degree=3 and order=2