The solution curve of the differential equation $y \frac{d x}{d y}=x\left(\log _e x-\log _e y+1\right), x>0, y>0$ passing through the point $(e, 1)$ is

[JEE Main 2024, 31 Jan (Shift 1)]

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

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The solution curve of the differential equation \(y \frac{d x}{d y}=x\left(\log _e x-\log _e y+1\right), x>0, y>0\…

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The solution curve of the differential equation \(y \frac{d x}{d y}=x\left(\log _e x-\log _e y+1\right), x&gt;0, y&gt;0\…

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The solution curve of the differential equation \(y \frac{d x}{d y}=x\left(\log _e x-\log _e y+1\right), x>0, y>0\…