A Portrayal of Integer Solutions to Non-homogeneous Quinary Heptic Equation

M.A.GOPALAN Dr; G Vijayalakshmi; G Vijayalakshmi; J Shanthi; S Devibala

doi:10.5269/bspm.83281

A Portrayal of Integer Solutions to Non-homogeneous Quinary Heptic Equation

Authors

M.A.GOPALAN Dr PROFESSOR
G Vijayalakshmi Madurai Kamaraj University https://orcid.org/0009-0009-8118-6049
G Vijayalakshmi Madurai Kamaraj University https://orcid.org/0009-0009-8118-6049
J Shanthi Bharathidasan University https://orcid.org/0000-0003-1110-0587
S Devibala Madurai Kamaraj University https://orcid.org/0000-0003-1110-0587

DOI:

https://doi.org/10.5269/bspm.83281

Abstract

This paper concerns with the problem of obtaining many non-zero distinct integer solutions to non-homogeneous quinary heptic equation given by 2(x+y)(x³-y³)=61(z² -w²)P⁵.Substitution technique and factorization method are utilized to determine the same.