Let \( y=y(x) \) be the solution curve of the differential equation \( \frac{d y}{d x}+\frac{1}{...

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Let \( y=y(x) \) be the solution curve of the differential equation \( \frac{d y}{d x}+\frac{1}{x^{2}-1} y=\left(\frac{x-1}{x+1}\right)^{1 / 2}, x1 \) passing through the point \( \left(2, \sqrt{\frac{1}{3}}\right) \). Then \( \sqrt{7} y(8) \) is
(a) \( 11+6 \log _{\mathrm{e}} 3 \)
(b) 19
(c) \( 12-2 \log _{\mathrm{e}} 3 \)
(d) \( 19-6 \log _{\mathrm{e}} 3 \)
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