If m and n are order and degree of the differential equation `((d^2y)/(dx^2))^5+(4((d^2y)/(dx^2))^3)/((d^3y)/(dx^3))+(d^3y)/(dx^3)=x^2-1`

Options

A. m = 3, n = 3
B. m = 3, n= 2
C. m = 3, n = 5
D. m = 3, n = 1

Answer

B

Explanation

The given differential equation can be written as
`((d^(3)y)/(dx^(3)))^(2)-(x^(2)-1)(d^(3)y)/(dx^(3))+((d^(3)y)/(dx^(3)))((d^(2)y)/(dx^(2)))^(5)+4((d^(2)y)/(dx^(2)))^(3)=0`
Clearly, its order is 3 and degree is 2.
`therefore" m=3 and n=2`