JEE Main 2024 Mathematics question
The solution curve of the differential equation , x > 0, y > 0 passing through the point (e, 1) is
Answer: (A)
Solution
dx/dy = (x/y)(ln(x/y) + 1). Put x = vy: v + y dv/dy = v ln v + v, so y dv/dy = v ln v and ∫dv/(v ln v) = ∫dy/y,
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