Asymptotic properties of the differential equation $h^3(h^{\prime \prime }+h^{\prime })=1$

J. Asch, R. D. Benguria, P. Šťovíček

We derive the form of the asymptotic series, as $t\to +\infty$, for a general solution $h(t)$ of the non-linear differential equation $h(t{)}^3(h^{\prime \prime }(t)+h^{\prime }(t))=1$.