If the solution curve of the differential equation (y-2 \log _{ {\e}} x) \dx+ (\log _{ {\e}} {\x}^2) d y=0, x > 1 passes through the points ( {\e}, \frac{4}{3}) and ( {\e}^4, \alpha), then \alpha is equal to ______. [8-Apr-2023 shift 1]

JEE Mains 8-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 24 of 90

Marks: +1, -0

If the solution curve of the differential equation (y−2logex)‌dx+(logex2)dy=0,x>1 passes through the points (e,‌

) and (e4,α), then α is equal to ______.

[8-Apr-2023 shift 1]

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