Arya Bhatta Journal of Mathematics and Informatics

  • Year: 2025
  • Volume: 17
  • Issue: 1

On the Exponential Diophantine Equations 5v + 11x + 13y = Z2, and 6x + 13y = Z2

1G.V.M. Girls College, Sonepat, Haryana-131001

2G.V.M. Girls College, Sonepat, Haryana-131001

Abstract

In this paper, the Diophantine equations 5v + 11x + 13y = Z2 and 6x + 13y = Z2 have been discussed for integer solutions. The solutions of these Diophantine equations have been obtained which are given by (v,x,y,z,)=(2,1,1,7) and (0,1,1,5) and (x,y,z)=(2,1,7) respectively.

Keywords

Exponential, Diophantine equation and integer solution