Problem: Find a uniformly valid approximation to the solution of $\epsilon y''(x)+(2+3x)y'(x)+6y(x)=0$ with boundary conditions $y(0)=1, y(1)=3$ 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: $\boxed{\frac{75}{(2+3x)^2}-\frac{71}{4}e^{-2x/ \epsilon}}$