Many special functions are solutions of rst order linear systems y0(x) = a(x)y(x)+d(x)w(x), w0(x) =
b(x)w(x)+e(x)y(x). We obtain bounds for the ratios y(x)=w(x) and the logarithmic derivatives of y(x)
and w(x) for solutions of monotonic systems satisfying certain initial or boundary conditions. We focus
on systems satised by functions y(x) = yn(x) and w(x) = yn