Let y : (1, ∞) → ℝ be the solution of the differential equation
\(y^{\prime \prime}-\frac{2 y}{(1-x)^2}=0\)
satisfying y(2) = 1 and \(\displaystyle\lim_{x \rightarrow \infty}\) y(x) = 0. Then y(3) is equal to __________. (rounded off to two decimal places)
Enter numerical value using the virtual keypad. Round off where necessary.