integral solutions of the non homogeneous heptic equation with five unknowns x3-y3-(x2+y2 )+z3-w3=2+15p7

Research Article
Gopalan. M.A, Kavitha. A and Vidhyalakshmi. S
DOI: 
xxx-xxxx-xxx
Subject: 
science
KeyWords: 
Integral solutions, heptic, nonhomogeneous equation.
Abstract: 

The non-homogeneous Diophantine equation of degree seven with five unknowns represented by 3 - 3 - ( 2 + 2) + 3 - 3 = 2 + 15 7 is analyzed for its non-zero distinct integer solutions. A few interesting relation between the solutions and special numbers namely Polygonal numbers, Pyramidal numbers, centered Polygonal numbers are exhibited.