The degree and order of the differential equation` [ 1+((dy)/(dx))^(3)]^(7/3)=7((d^(2)y)/(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)/(dt))]^(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)))`
Here, we see that highest order derivative is 2 , whose degree is 3 .
Hence, degree = 3 and order = 2