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JEE-Main_2026
02-04-26_S1
Question
If the curve $y=f(x)$ passes through the point ( $1, \mathrm{e}$ ) and satisfies the differential equation $\mathrm{d} y=y\left(2+\log _{\mathrm{e}} x\right) \mathrm{d} x, x>0$, then $f(\mathrm{e})$ is equal to:
Select the correct option:
A
$\mathrm{e}^{\mathrm{e}}$
B
$\mathrm{e}^{\mathrm{e}^2}$
C
$e^{2 e}$
D
$\mathrm{e}^{2^{\varepsilon}}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Mathematics
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