  The exact solution of the kinetic equation of the one step process of a
growth (birth) in the presence of sources (runs-off) is found for arbitrary
dependence of the rate of the growth on the number of the state (or size). It
is shown that the presence of the source leads on the broadening of the state
(or size) distribution. It is shown also that the solution obtained can be used
for approximate definition of the size distribution of nuclei for the case of
large supersaturation of the vapor. The exact solution of the kinetic equation
of the one step process of a decay in the presence of sources (runs-off) is
found also for arbitrary dependence of the rate of the decay on the number of
the state (or size).
