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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. $\tan x + \cot y = c\:\text{(c is a constant)}$