The solution of the differential equation x d y d x =y-x ( y x ) is ,

Mathematics · JEE Main · NTA ExamsDifferential Equations

The solution of the differential equation \(x \frac{d y}{d x}=y-x \tan \left(\frac{y}{x}\right) \text { is }\),
  1. \(x \sin \frac{x}{y}=c\)
  2. \(x \sin \frac{y}{x}=c\)
  3. \(x \cos \frac{y}{x}=c\)
  4. None of these

Answer

(B) x y x =c

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