diff-equation

Question: The general solution of the differential equation $\frac{dy}{dx}+\sin \left( \frac{x+y}{2} \right)=\sin \left( \frac{x-y}{2} \right)$ is



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) $\log \tan \left( \frac{y}{4}+\frac{\pi }{4} \right)=c-2\sin \left( \frac{x}{2} \right)$
Solution: Explanation: No Explanation
Variable separable type differential equations

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