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ExamsJEE MainMaths

Solution of the differential equation y dx+(x+x²y) dy=0 is

  1. log y=Cx
  2. -1/(xy)+log y=C
  3. 1/(xy)+log y=C
  4. -1/(xy)=C

Correct answer: -1/(xy)+log y=C

Solution

The correct option represents a solution derived from separating variables and integrating the given differential equation, leading to a relationship between y and x that satisfies the original equation.

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