  The classical Lotka-Volterra predator-prey system is often used in species
competition modeling. An exact, closed-form solution is derived when the
natural growth rate of the prey species and decay rate of the predators are
equal in magnitude. A standard functional transformation yields a novel system
of two partially uncoupled rst-order ODEs for \hybrid-species", with one being
autonomous. New exact, closed-form time-dependent solutions are derived for
each individual species. An analytical expression for the system's oscillation
period valid for any value of the system's energy is derived in terms of a
novel universal function.
