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Non-homogeneous Quinary Cubic Equation

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1Department ofMathematics, School of Engineering and Technology, Dhanalakshmi Srinivasan University, Samayapuram, Trichy- 621 112, Tamil Nadu India.2Department Of Mathematics, National College, Affiliated To Bharathidasan University, Trichy-620 001, Tamilnadu, India.3Department of Mathematics, Shrimati Indira Gandhi College, Affiliated to Bharathidasan University, Trichy-620 002, Tamilnadu, India.

* Corresponding Author: N. Thiruniraiselvi. Email: mayilgopalan@gmail.com

Annals of Communications in Mathematics 2024, 7 (2), 95-99. https://doi.org/10.62072/acm.2024.070202

Received: 17 April 2024 |

Accepted: 13 Jun 2024 |

Published: 30 Jun 2024

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Abstract

This article is discussed for finding non-zero different solutions in integers to the non-homogeneous cubic equation with five unknowns represented by (x 3 − y ) = (z 3 −w3 )+ 72t 2. Various choices of integer solutions to the above equation are obtained through employing linear transformations and simplification. Some special results based on the solutions are also discussed.

Keywords

Integer solutions; Non-homogeneous cubic; Quinary cubic

Cite This Article

N. Thiruniraiselvi, Sharadha Kumar, M.A. Gopalan.

Non-homogeneous Quinary Cubic Equation.

Annals of Communications in Mathematics

2024,

7 (2):

95-99.

https://doi.org/10.62072/acm.2024.070202

Copyright © 2024 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).