Problem: Find a uniformly valid approximation to the solution of $\epsilon y'' + \frac{cos(x)}{3}y' - (\ln x)y = 0$ with boundary conditions $y(0) = 0, y(1) = 1$ 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: $\boxed{y(x) = e^{\int_{1}^{x}\frac{3\ln t}{\cos(t)}dt} - e^{\int_{1}^{0}\frac{3\ln t}{\cos(t)}dt}e^{- \frac{x}{3\epsilon}}}$