Let y=y(x) be the solution curve of the differential equation (d y)/(d x)+1/(x^2-1) y=((x-1)/(x+1))^1 / 2, x>1 passing through the point (2, √(1/3)).…

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