  A family of nonlinear ordinary differential equations with arbitrary order is
obtained by using nonextensive concepts related to the Tsallis entropy.
Applications of these equations are given here. In particular, a connection
between Tsallis entropy and the one-dimensional correlated anomalous diffusion
equation is established. It is also developed explicitly a WKB-like method for
second order equations and it is applied to solve approximately a class of
equations that contains as a special case the Thomas-Fermi equation for an
atom. It is expected that the present ideas can be useful in the discussion of
other nonlinear contexts.
