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Differential Equations question

2022 · 28 Jul · Shift 2 · Q31

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JEE Main
Mathematics
Differential Equations
2022 · 28 Jul · Shift 2 · Q31

Differential Equations question

2022 · 28 Jul · Shift 2 · Q31

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let

y=y(x)

be the solution curve of the differential equation

\frac{d y}{d x}+\frac{1}{x^{2}-1} y=\left(\frac{x-1}{x+1}\right)^{1 / 2}

,

x \gt 1

passing through the point

\left(2, \sqrt{\frac{1}{3}}\right)

. Then

\sqrt{7}\, y(8)

is equal to :

A
$11+6 \log _{e} 3$
B
19
C
$12-2 \log _{\mathrm{e}} 3$
D
$19-6 \log _{\mathrm{e}} 3$

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