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ExamsJEE MainMaths

The general solution of the differential equation y dx - x dy + 3x² y² e^(x³) dx = 0 is:

  1. x/y + e^(x³) = C
  2. x/y - e^(x³) = 0
  3. -x/y + e^(x³) = C
  4. y/x + e^(x³) = C

Correct answer: x/y + e^(x³) = C

Solution

Dividing by y² gives d(x/y) + d(e^(x³)) = 0, so x/y + e^(x³) = C.

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