What are the order and degree respectively of the differential equation
`((d^(2)y)/(dx^(2)))^(5//6)= ((dy)/(dx))^(1//3)` ?

Options

A. 2,1
B. 2,5
C. `2,""5/6`
D. `1,""1/3`

Answer

B

Explanation

Given differential equation is :
`((d^(2)y)/(dx^(2)))^(5//6) = ((dy)/(dx))^(1//3)`
Raising both the side to power of 6, to make it a polynomial of derivatives.
`Rightarrow ((d^(2)y)/(dx^(2)))^(5)=((dy)/(dx))^(6//3) Rightarrow((d^(2)y)/(dx^(2)))^(5)=((dy)/(dx))^(2)`
Highest derivation has power of 5. so, the order and degree of given differential equation are 2 and 5 respectively.