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

Answer» 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


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