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y=tan^-1(sec x^3-tan x^3) and pi/2 lt x^...

`y=tan^-1(sec x^3-tan x^3) and pi/2 lt x^3 lt (3pi)/2` then which of the following is correct

A

`xy^('')+2^(') =0`

B

`x^(2)y^('')-6y+(3pi)/2 =0`

C

`x^(2)y^('')-6y+3pi=0`

D

`xy^('')-4y^(')=0`

Text Solution

Verified by Experts

The correct Answer is:
B
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