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JEE MAIN 2022
28-06-22 S2
Question
Let $\mathrm{x}=\mathrm{x}(\mathrm{y})$ be the solution of the differential equation $2 \mathrm{ye}^{\mathrm{x} / \mathrm{y}^2} \mathrm{dx}+\left(\mathrm{y}^2-4 \mathrm{xe}^{\mathrm{x} / \mathrm{y}^2}\right) \mathrm{dy}=0$ such that $\mathrm{x}(1)=0$. Then, $x(e)$ is equal to
Select the correct option:
A
$e \log _e(2)$
B
$-\mathrm{elog}_{\mathrm{e}}(2)$
C
$e^2 \log _e(2)$
D
$-e^2 \log _e(2)$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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JEE Main
Mathematics
Medium
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