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JEE MAIN 2024
31-01-2024 S1
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
Select the correct option:
A
$\left|\log _e \frac{y}{x}\right|=x$
B
$\left|\log _e \frac{y}{x}\right|=y^2$
C
$\left|\log _e \frac{x}{y}\right|=y$
D
$2\left|\log _e \frac{x}{y}\right|=y+1$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Question Tags
JEE Main
Mathematics
Medium
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