Special-series solution of the first-order linear vector differential equation
Abstract
Description
A special series is introduced in this paper to yield solution of the first-order linear vector differential equation. It is proved that if the differential equation satisfied by the first term of this series can be solved exactly, then other terms can be determined by the method of variation of parameters. We point out that the special series will be the solution of the first-order linear vector differential equation if the infinite special series converges. An illustrative example has been given to outline the procedure of our method.
14 pages, no figures, submitted to J.Differential Equations
14 pages, no figures, submitted to J.Differential Equations