Let y(x) be solution of the... | Differential Equation | JEE Main 2021

JEE MAIN 2021

26-08-2021 S2

Question

Let $y(x)$ be the solution of the differential equation $2 x^2 d y+\left(e^y-2 x\right) d x=0, x>0$. If $y(e)=1$, then $y(1)$ is equal to:

Select the correct option:

A

$0$

B

2

C

$\log _{\mathrm{e}} 2$

D

$\log _e(2 e)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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