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

In this paper, the Diophantine equations 5^v + 11^x + 13^y = Z² and 6^x + 13^y = 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.