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The curve y=(cosx+y)^((1)/(2)) satisfies...

The curve `y=(cosx+y)^((1)/(2))` satisfies the differential equation-

A

`(2y-1)(d^(2)y)/(dx^(2))+2((dy)/(dx))^(2)+cosx=0`

B

`(d^(2)y)/(dx^(2))-2y((dy)/(dx))^(2)+cosx=0`

C

`(2y-1)(d^(2)y)/(dx^(2))-2((dy)/(dx))^(2)+cosx=0`

D

`(2y-1)(d^(2)y)/(dx^(2))-((dy)/(dx))^(2)+cosx=0`

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