If dy/dx + (2^(x−y)(2^y−1)... | JEE Main 2022 | Differential

JEE MAIN 2022

27-06-2022 S1

Question

If $\frac{d y}{d x}+\frac{2^{x-y}\left(2^y-1\right)}{2^x-1}=0, x, y>0, y(1)=1$, then $y(2)$ is equal to :

Select the correct option:

A

$2+\log _2 3$

B

$2+\log _2 2$

C

$2-\log _2 3$

D

$2-\log _2 3$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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