Explanation:tion of the differential equation y (xy + 2x 2 y 2 ) dx + x (xy – x 2 y 2 )…

Mathematics · JEE Advanced · NTA ExamsDifferential Equations

Explanation:tion of the differential equation
y (xy + 2x2y2) dx + x (xy – x2 y2) dy = 0 is given by
  1. \(2 \log |x|-\log |y|-\frac{1}{x y}=c\)
  2. \(2 \log |y|-\log |x|-\frac{1}{x y}=c\)
  3. \(2 \log |x|+\log |y|+\frac{1}{x y}=c\)
  4. \(2 \log |y|+\log |x|+\frac{1}{x y}=c\)

Answer

(A) 2 |x|- |y|- 1 x y =c

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