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If y=2/(sqrt(a^2-b^2)){tan^(-1)((a-b)/(a...

If `y=2/(sqrt(a^2-b^2)){tan^(-1)((a-b)/(a+b))tanx/2}` , then show that `(d^2y)/(dx^2)=(bsinx)/((a+bcosx)^2)`

A

`(d ^(3)y)/(dx ^(3)) -9 ( d ^(2)y)/(dx ^(2))+23 (dy )/(dx)+15 y =0`

B

`(d ^(3)y)/(dx ^(3)) -9 ( d ^(2)y)/(dx ^(2))-23 (dy )/(dx)+15 y =0`

C

`(d ^(3)y)/(dx ^(3)) +9 ( d ^(2)y)/(dx ^(2))-23 (dy )/(dx)+15 y =0`

D

`(d ^(3)y)/(dx ^(3)) +9 ( d ^(2)y)/(dx ^(2))+23 (dy )/(dx)-15 y =0`

Text Solution

Verified by Experts

The correct Answer is:
A
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