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

Mathematics · JEE Main · NTA ExamsDifferential Equations

The general solution of the differential equation
y(x2y + ex) dx – ex dy = 0 is
  1. x3y – 3ex = cy
  2. x3y + 3ex = 3cy
  3. y3x – 3ey = cx
  4. y3x + 3ey = cx

Answer

(B) x 3 y + 3e x = 3cy

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