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Differential Equations question

2021 · 31 Aug · Shift 2 · Q28

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JEE Main
Mathematics
Differential Equations
2021 · 31 Aug · Shift 2 · Q28

Differential Equations question

2021 · 31 Aug · Shift 2 · Q28

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If

{{dy} \over {dx}} = {{{2^x}y + {2^y}{{.2}^x}} \over {{2^x} + {2^{x + y}}{{\log }_e}2}}

, y(0) = 0, then for y = 1, the value of x lies in the interval :

A
(1, 2)
B
$\left( {{1 \over 2},1} \right]$
C
(2, 3)
D
$\left( {0,{1 \over 2}} \right]$

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