The solution of the equation \(\frac{d y}{d x}=\cos (x-y)\) is 

1
\(y+\cot \left(\frac{x-y}{2}\right)=\mathrm{C}\)
2
\(x+\cot \left(\frac{x-y}{2}\right)=C\)
3
\(x+\tan \left(\frac{x-y}{2}\right)=C\)
4
none of these
5
Question Not Attempted

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