On the Non-Homogeneous Quintic with Five Unknowns (x^2-y^2)(9x^2+9y^2-16xy)=21(X^2-Y^2)z^3

Dr. P. Jayakumar, R. Venkatraman

Abstract: Five different methods of the non-zero integral solutions of the Non homogeneous Quintic Diophantine equation with five unknowns (x^2-y^2) (9x^2+9y^2-16xy) =21 (X^2-Y^2) z^3 are determined. Some interesting relations among the special numbers and the solutions are exposed.

Keywords: The non homogeneous Diophantine equation, Quintic equation with five unknowns Integral solutions, special numbers, a few interesting relation, 2010 Mathematics subject Classification 11D09