The general solution of the differential equation \( \frac{d y}{d x...
The general solution of the differential equation \( \frac{d y}{d x}+\sin \frac{x+y}{2}=\sin \frac{x-y}{2} \) is
\( \mathrm{P} \)
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(1) \( \log \tan \left(\frac{y}{2}\right)=c-2 \sin x \)
(2) \( \log \tan \left(\frac{y}{4}\right)=c-2 \sin \left(\frac{x}{2}\right) \)
(3) \( \log \tan \left(\frac{y}{2}+\frac{\pi}{4}\right)=c-2 \sin x \)
(4) \( \log \tan \left(\frac{y}{4}+\frac{\pi}{4}\right)=c-2 \sin \left(\frac{x}{2}\right) \)
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