Differential equations of the form y′=f(t,y,y′) where f is not
necessarily linear in its arguments represent certain physical phenomena and
are known for quite some time. The well known Clairut's and Chrystal's
equations fall into this category. Earlier we established the existence of a
(unique) solution of the nonstandard initial value problem y′=f(t,y,y′), y(t0)=y0 under certain natural hypotheses on f. In this paper,
we studied the stability of solutions of a nonstandard first order ordinary
differential system.