The solution of the differential equation \(\frac{{dy}}{{dx}} = \cos \left( {y - x} \right) + 1\) is

1
ex [sec (y – x) – tan (y – x)] = c
2
ex [sec (y – x) + tan (y – x)] = c
3
ex sec (y – x) tan (y – x) = c
4
ex = c sec (y – x) tan (y – x)

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