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