As the grid starts from 0 and you have used this zero in the reciprocal to get (u,v) you will get inf in the u,v.; quiver uses maximum value of u and v to scale the arrows and plot. Try to repalce inf with some other value or avoid zero.
[x,y] = meshgrid(1:0.2:5,1:0.2:5);
u = 2./x;
v = 2.*y./(x.^2);
figure
quiver(x,y,u,v,1,'r')
