Problem: Find the leading order WKB approximation for the specific differential equation: $\epsilon^2y''=x^2y$ with initial conditions at $y(1)=0; y(2)=1$ where $\epsilon$ is a small positive parameter ($0 < \epsilon \ll 1)$. Give your final answer in a \boxed latex environment.
Solution: $\boxed{y=\frac{\sqrt{2}}{\sqrt{x}}(exp(-\frac{2}{\epsilon})exp(\frac{x^2}{2\epsilon})-exp(-\frac{1}{\epsilon})exp(-\frac{x^2}{2\epsilon}))}$