Let \( y=y(x) \) be the solution curve of the differential equation \( \dfrac{dy}{dx}+\dfrac{1}{x^2-1}y=\left(\dfrac{x-1}{x+1}\right)^{1/2},\ x>1 \) passing through the point \( \left(2,\sqrt{\dfrac{1}{3}}\right) \). Then \( \sqrt{7}\,y(8) \) is equal to:
