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

Vijayasankar A.; Sharadha Kumar; Gopalan M. A.

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

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

Volume 18, Issue 1 Pages 27-34 April 30, 2022 339 downloads

Article overview

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 equationquintic equation with five unknownsintegral solutions.

AMS Subject Classification

11D41.

Reference information

How to Cite

Vijayasankar A., Sharadha Kumar, Gopalan M. A. (2022). ON NON-HOMOGENEOUS QUINARY QUINTIC EQUATION $(x^{4}-y^{4})=125(z^{2}-w^{2})p^{3}$. South East Asian Journal of Mathematics and Mathematical Sciences, 18(1), 27-34.

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