diff-equation

Question: The solution of $\frac{dy}{dx}=\sin (x+y)+\cos (x+y)$is

1) $\log \left[ 1+\tan \left( \frac{x+y}{2} \right) \right]+c=0$

2) $\log \left[ 1+\tan \left( \frac{x+y}{2} \right) \right]=x+c$

3) $\log \left[ 1-\tan \left( \frac{x+y}{2} \right) \right]=x+c$

4) None of these

Solution:

Explanation: No Explanation

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