MathematicsMedium38×since 2002Q3550Let y=y(x)y=y(x)y=y(x) be the solution curve of the differential equation dydx+1x2−1y=(x−1x+1)1/2\frac{d y}{d x}+\frac{1}{x^{2}-1} y=\left(\frac{x-1}{x+1}\right)^{1 / 2}dxdy+x2−11y=(x+1x−1)1/2, x>1x >1x>1 passing through the point (2,13)\left(2, \sqrt{\frac{1}{3}}\right)(2,31). Then 7 y(8)\sqrt{7}\, y(8)7y(8) is equal to :A11+6loge311+6 \log _{e} 311+6loge3B19C12−2loge312-2 \log _{\mathrm{e}} 312−2loge3D19−6loge319-6 \log _{\mathrm{e}} 319−6loge3Check answerSkip