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Differential Equations question

2022 · 27 Jun · Shift 1 · Q28

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JEE Main
Mathematics
Differential Equations
2022 · 27 Jun · Shift 1 · Q28

Differential Equations question

2022 · 27 Jun · Shift 1 · Q28

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If

{{dy} \over {dx}} + {{{2^{x - y}}({2^y} - 1)} \over {{2^x} - 1}} = 0

, x, y > 0, y(1) = 1, then y(2) is equal to :

A
$2 + {\log _2}3$
B
$2 + {\log _3}2$
C
$2 - {\log _3}2$
D
$2 - {\log _2}3$

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