The general solution of the differential equation `(dy)/(dx)+(1+cos2y)/(1-cos2x)=0` is given by

Options

A. `tan y cot x = C`
B. ` tan y - cot x = C`
C. `tan x - cot y = C`
D. ` tan x + cot y = C`

Answer

b

Explanation

We have , `(dy)/(dx) + (1+cos2y)/(1-cos2x)=0`
` (dy)/(dx) = -(1+cos2y)/(1-cos2y) =-(2cos^(2)y)/(2 sin^(2)x)`
` rArr int sec^(2) y dy = - int "cosec"^(2) x dx`
` rArr tan y = cot x +C`