Problem: Find a uniformly valid approximation to the solution of $$\epsilon y''+\frac{y'}{x^2}+y=0 with boundary conditions $y(0)=0, y(1)=e^{-\frac{1}{3}}$ in the limit $\epsilon \rightarrow 0+$. 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: $\boxed{y(x)=e^{\frac{-x^3}{3}}}$