The solution of the equation (y-x d y d x ) ( d y d x -1 )= d y d x is,

Mathematics · JEE Main · NTA ExamsDifferential Equations

The solution of the equation \(\left(y-x \frac{d y}{d x}\right)\left(\frac{d y}{d x}-1\right)=\frac{d y}{d x}\) is,
  1. \(y=C x-C-1\)
  2. \(y=\frac{\mathrm{L}-1}{\mathrm{~L}}+\mathrm{Cx}\)
  3. \(y=C x+C-1\)
  4. None of these

Answer

(C) y=C x+C-1

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