  We report on a direct measurement of the mixing parameter
y=(3.42+-1.39+-0.74)% in the D0-D0bar system by measuring the lifetime
difference between the CP mixed final state K^+pi^- and the CP even state
K^+K^-. We also present a study of the decay \ws based on a sample of 149+-31
observed events compared to 36760+-195 events observed in the Cabibbo favored
channel D0->K^-pi^+. The observed branching ratio R=(0.404+-0.085+-0.025)% is
used to obtain limits on the mixing parameters x' and y' and the doubly Cabibbo
suppressed branching ratio, R_DCS. These studies are based on a large sample of
photoproduced charm mesons from the FOCUS experiment at Fermilab (FNAL-E831).
