Series Solutions Of Ordinary Differential Equation

ABSTRACT

This project work is on series solution of ordinary differential equations. This procedure is mainly devised to obtain the solution of ordinary differential equations whose coefficients are functions of the independent variable. The type of solution in the case is determined by the nature of the coefficients of the highest derivatives occurring in the differential equation. This leads to classification of the coefficients of the highest derivatives into ordinary point and the singular point of the ordinary differential equation. For ordinary points we chose for the solution of the form. And for the singular point we chose. The determination of π leads to what is called the indicial equation whose degree is equal to the ordinary differential equation. We obtained the series solution of sonic chosen differential equations.