A SUPERPOSITION PRINCIPLE FOR A SYSTEM OF ANALYTIC ORDINARY DIFFERENTIAL EQUATIONS,

Given a set of analytic differential equations Eta t summation from i to lambda of1 g sub i Etat t with Eta t sub o Eta sub o it is then shown that if one knows the closed form solution Chi sub i t to the set of equations Chi sub i g sub i Chi sub i, t for some of the i, it is possible to write a series expansion for Etat which is a better approximating series than the Taylor series of Etat about tt sub o. Author