Differential Equations: JEE Main 2022 Mathematics question

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