  The Darboux-Halphen system of equations have common or individual additive
terms depending on the matrices defining Yang-Mills gauge potential fields. Tod
(Phys. Lett. A 190 (1994) 221-224), described a conserved quantity for the
classical systems with no additive terms. We show that the conserved quantity
apply even for the generalized cases with common additive terms. A theory has
been presented, with an example, of how to formulate conserved quantities for
equation with individual additive terms. We also briefly shed some light on the
issues of surface motions of fluids in conncetion to Nahm`s equation and the
self-duality and integrability of membrane dynamics.
