The Question:
$$\varepsilon y''+f(x)y'+y=0 \qquad y(-1)=0 \qquad y(1)=1$$
where $0<\varepsilon \ll 1$ and $f$ is a given smooth function that is strictly positive with $f(1)=f(-1)=1$.
(i) Determine the location of the boundary layer
(ii) Obtain leading order outer and inner solutions
My At...