ON THE QUINARY HOMOGENEOUS BI-QUADRATIC EQUATION x4  y4  x  yw3  14z2T 2

Abstract

The purpose of this paper is to examine the non-zero distinct integral solutions of quinary biquadratic homogeneous diophantine equation x4  y4  x  yw3  14z2T 2 in integers. In this paper, we present some different patterns of integral solutions to the above diophantine equation in five variables. Also, we obtain some properties as relations between solutions and special numbers.