JEE Math Practice Question
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
- A.$$\left|\log _e \frac{y}{x}\right|=y^2$$
- B.$$\left|\log _e \frac{y}{x}\right|=x$$
- C.$$\left|\log _e \frac{x}{y}\right|=y$$
- D.$$2\left|\log _e \frac{x}{y}\right|=y+1$$
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