The Diophantine Equations of Second and Higher Degree of the Form 3xy = n (x + y) and 3xyz = n (xy + yz + zx) etc

In this study, the Diophantine equations of second and higher degree of the form 2xy = n (x + y), 3xy = n (x + y), 3xyz = n (xy + yz + xz), 4xyz = n (xy + yz + xz), 3wxyz = n (xyz + wyz + xyz + wxz) and 4vwxyz = n (wxyz + vxyz + vwyz + vwyz + vwxy), have been discussed. Congruence modulo relation has been used for solution part. Attempt has been made to obtain some positive integral solutions of these Diophantine equations.