Problem: Find a uniformly valid approximation to the solution of $\epsilon y'' - 2 \tan(x) y' + y = 0$ with boundary conditions $y(-1) = y(1) = 1$ 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: $\boxed{y = e^{-2 \tan(1) (1-x)/\epsilon} + e^{-2 \tan(1) (x+1)/\epsilon}}$