J. Asch, R.D. Benguria, P. \v{S}\v{t}ov\'\i\v{c}ek Asymptotic properties of the differential equation $h^3(h''+h')=1$ (217K, postscript) ABSTRACT. We derive the form of the asymptotic series, as $t\to +\infty$, for a general solution $h(t)$ of the non-linear differential equation $h(t)^{3}(h''(t)+h'(t))=1$.