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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: drntsmaths@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

\[
(z^{3} – y^{3}) = (z^{3} – w^{3}) + 7t^{2}.
\]

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/).