The Explicit Solution to the Countable Systems of Linear Ordinary Di erential Equations with lower Tridiagonal Constant Coe cients Matrix رسالة ماجستير

Abstract

In this thesis, we have derived an explicit solution to an in nite countable system of linear ordinary di erential equations with constant coe cients. We applied some mathematical techniques and we have found the solution to the system under consideration when the coe cients matrix is lower tridiagonal, and lower triangular. A matlab program is prepared to illustrate results.