The general solution of the differential equation $\left(x \sin \frac{y}{x}\right) d y=\left(y \sin \frac{y}{x}-x\right) d x$ is

• A

  $\log x+\tan \frac{y}{x}=c$
• B

  $\log x+\cos \frac{y}{x}=c$
• C

  $\log x-\sin \frac{y}{x}=c$
• Correct answer
  D

  $\log x-\cos \frac{y}{x}=c$

Hence, the correct answer is option: 'D'.