In this paper, the differential calculus was used
to obtain some classes of ordinary differential equations (ODE)
for the probability density function, quantile function, survival
function, inverse survival function, hazard function and
reversed hazard function of Burr XII and Pareto distributions.
This was made easier since later distribution is a special case of
the former. The stated necessary conditions required for the
existence of the ODEs are consistent with the various
parameters that defined the distributions. Solutions of these
ODEs by using numerous available methods are new ways of
understanding the nature of the probability functions that
characterize the distributions
