The solution of the following differential equation x ( y x )(y d x+x d y)=y ( y x )(x d…

Mathematics · JEE Main · NTA ExamsDifferential Equations

The solution of the following differential equation \(x \cos \left(\frac{y}{x}\right)(y d x+x d y)=y \sin \left(\frac{y}{x}\right)(x d y-y d x)\) is : 
  1. \(x y \cos \left(\frac{x}{y}\right)=\)constant
  2. \(x y \cos \left(\frac{y}{x}\right)=\)constant
  3. \(x y \sin \left(\frac{y}{x}\right)=\)constant
  4. none of these

Answer

(B) x y ( y x )= constant

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