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The general solution of the differential equation $\dfrac{\mathrm{d} y}{\mathrm{d} x} = \dfrac{1+\cos 2y}{1-\cos 2x}$ is

  1. $ \tan y –  \cot x = c\:\text{(c is a constant)}$
  2. $\tan x – \cot y = c\:\text{(c is a constant)}$
  3. $\tan y + \cot x = c\:\text{(c is a constant)}$
  4. $\tan x +  \cot y = c\:\text{(c is a constant)}$
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