M., A.Gopalan1,S., Aarthy Thangam2,O., .Ozer32023-05-292023-05-292020-05-01M. A.Gopalan1, S. Aarthy Thangam2, O.Ozer3. ON THE QUINARY HOMOGENEOUS BI-QUADRATIC EQUATION x4  y4  x  yw3  14z2T 2. Journal of Fundamental and sciences. vol.12, no 2. May 2020. Faculty of exact sciences. university of el oued. [visited in 01/03/2020. available from [copy the link here]http://dspace.univ-eloued.dz/handle/123456789/24793articalThe 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.enQuinary bi-quadratic equations, Diophantine equation, Special numbers, Integer solutionsArticle