ON NON-HOMOGENEOUS QUINARY QUINTIC EQUATION $(x^{4}-y^{4})=125(z^{2}-w^{2})p^{3}$

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 193

Volume : 18 , Issue : 1
DOI:
Author :
Vijayasankar A. (Department of Mathematics, National College (Autonomous), Tiruchirappalli - 620001, Tamil Nadu, INDIA)
Sharadha Kumar (Department of Mathematics, National College (Autonomous), Tiruchirappalli - 620001, Tamil Nadu, INDIA)
Gopalan M. A. (Department of Mathematics, Shrimati Indira Gandhi College, Tiruchirappalli - 620002, Tamil Nadu, INDIA)

Abstract

The quinary quintic non-homogeneous diophantine equation represented by $(x^{4}-y^{4})=125(z^{2}-w^{2})p^{3}$ is analyzed for its patterns of non-zero distinct integral solutions and some properties among the solutions are also illustrated.

Keywords and Phrases

Non-homogeneous quintic equation, quintic equation with five unknowns, integral solutions.

A.M.S. subject classification

11D41.

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