Let $y_{1}(x)$ and $y_{2}(x)$ be two linearly independent solutions of
\[
x^{2} \frac{d^{2} y}{d x^{2}}-2 x \frac{d y}{d x}+2 y=0, \quad x>0
\]
Let $W\left(y_{1}, y_{2}\right)(x)$ denote the Wronskian of $y_{1}(x)$ and $y_{2}(x)$ at $x$.
If $W\left(y_{1}, y_{2}\right)(1)=1$ then $W\left(y_{1}, y_{2}\right)(2)$ is equal to __________.
