The solution curve of the differential equation y \frac{d x}{d y}=x (\log _e x-\log _e y+1) , x>0, y>0 \text{ passing } through the point (e, 1) is [31-Jan-2024 Shift 1]

2{| \log _{ {\e}} { {\x}}/{ {\y}} |}= {\y}+1

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