Solution curve of differential eq.. | Differential Equations

JEE MAIN 2023

8-4-2023 S1

Question

If the solution curve of the differential equation $\left(y-2 \log _e x\right) d x+\left(x \log _e x^2\right) d y=0, x>1$ passes through the points $\left(e, \frac{4}{3}\right)$ and $\left(e^4, \alpha\right)$, then $\alpha$ is equal to $\_\_\_\_$

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Question Tags

JEE Main

Mathematics

Medium

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