Problem: Find a uniformly valid leading order approximation to the solution of $\epsilon y'' - \tanh(x^2)y' - xy = 0$ with boundary conditions $y(1) = 1; y(2) = 1$ 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: $\boxed{y(x) = [\frac{\sinh(1)}{\sinh(x^2)}]^\frac{1}{2} + (1-[\frac{\sinh(1)}{\sinh(4)}]^\frac{1}{2})e^{\tanh(4)\frac{-(2-x)}{\epsilon}}}$