A curve passes through the point (0, 1) and the gradient at (x, y) on it is y (xy – 1)…

Mathematics · JEE Main · NTA ExamsDifferential Equations

A curve passes through the point (0, 1) and the gradient at (x, y) on it is y (xy – 1). The equation of the curve is
  1. y (x – 1) = 1
  2. y (x + 1) = 1
  3. x (y + 1) = 1
  4. x (y – 1) = 1

Answer

(B) y (x + 1) = 1

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