The solution of the differential equation y dx + (x + x 2 y) dy = 0 is

Mathematics · JEE Main · NTA ExamsDifferential Equations

The solution of the differential equation
y dx + (x + x2y) dy = 0 is
  1. \(-\frac{1}{x y}=c\)
  2. \(-\frac{1}{x y}+\log y=c\)
  3. \(\frac{1}{x y}+\log y=c\)
  4. log y = cx

Answer

(B) - 1 x y + y=c

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