JEE Main 2026 Mathematics question
Let x = x(y) be the solution of the differential equation , y > 1, x(e) = e. Then x(e²) is equal to:
Answer: (B)
Solution
With v = x/y this reduces to 2y dv/dy = −v², giving x = 2y/(ln y + 1) after using x(e) = e. At y = e²: x = 2e²/3.