Problem: Find a uniformly valid approximation to the solution of $\epsilon y'' + \frac{y'}{x^2} + y = 0$ with boundary conditions $y(0) = 0, y(1) = e^{-1/3}$ in the limit $\epsilon \to 0^+$. Use only the variables and constants given in the problem; do not define additional constants. Place your final solution in a $\boxed{}$ LaTeX environment.
Solution: $$\boxed{y(x)=e^{-\frac{x^3}{3}}}$$