Problem: Find a uniformly valid approximation to the solution of $\epsilon y'' + x y' + y = 0$ with boundary conditions $y(0)=1, y(1)=1$ in the limit $\epsilon = 0$ from the positive direction. Denote the square root of -1 as I. 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: $\boxed{y(x) \approx \frac{1}{\sqrt{\epsilon}}e^{\frac{-x^2}{2\epsilon}} \\i \sqrt{\frac{\pi}{2}}erfi(\frac{x}{\sqrt{2\epsilon}})+ e^{\frac{-x^2}{2\epsilon}}}$