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Research Article Open access CC BY 4.0

A New Class of Ordinary Differential Equation at Infinity and Its Solution

Prasanta Kumar Das

Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 19 Jul 2015

10.9734/BJMCS/2015/15796

Abstract

The main purpose of this paper is to construct a new class of second order differential equation at infinity. To solve the problem, we generate the auxiliary equation via a pre-auxiliary equation and obtain the general solution of it. We express the higher order of the differential equation in a matrix form. We have also studied the problem with a change in variable. We prove the sufficient condition of the solutions for the 2nd order differential equation under certain conditions for existence of the problem.

Ordinary differential equation, pre-auxiliary equation auxiliary equation

Cited by 1

SYSTEM OF HOMOGENEOUS DIFFERENTIAL EQUATION AT INFINITY

P. Das, S. Mohanta, A. K. Paul · 2019

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