Question

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

Answer 1

Correct Answer - b
The given differential equation can be rewritten as
` ((d^(2)y)/(dx^(2)))* (d^(3)y)/(dx^(3))+4((d^(2)y)/(dx^(2)))^(2) +((d^(3)y)/(dx^(3)))= (x^(2)-1)(d^(3)y)/(dx^(3))`
` rArr ` Order (m) = 3
and degree (n) =2