Mathematics · 2024
JEE Main · 31 January 2024, Shift 1 · Q12
The solution curve of the differential equation y (d x)/(d y)=x( log_e x- log_e y+1), x>0, y>0 passing through the point (e, 1) is
The solution curve of the differential equation
$\displaystyle y \frac{d x}{d y}=x\left(\log _e x-\log _e y+1\right), x>0, y>0$ passing through the point $\displaystyle (e, 1)$ is
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \left|\log _e \frac{x}{y}\right|=y$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.