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Differential Equations question

2020 · 2 Sep · Shift 2 · Q30

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JEE Main
Mathematics
Differential Equations
2020 · 2 Sep · Shift 2 · Q30

Differential Equations question

2020 · 2 Sep · Shift 2 · Q30

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If a curve y = f(x), passing through the point (1, 2), is the solution of the differential equation, 2x2dy= (2xy + y2)dx, then

f\left( {{1 \over 2}} \right)

is equal to :

A
${1 \over {1 - {{\log }_e}2}}$
B
${1 \over {1 + {{\log }_e}2}}$
C
${{ - 1} \over {1 + {{\log }_e}2}}$
D
${1 + {{\log }_e}2}$

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