WEBThe simplest numerical method is Euler’s method, which replaces equation 1.1 with the iterative equation x(t+δ)=x(t)+δ &x , in this case x(t+δ)=x(t)(1+αδ). To advance time by δ, it suffices to multiply by the factor (1+αδ). Thus, if α=0.1/year and δ=.5 years and x(0)=100, then x(0.5)=105, x(1)=105(1.05)=1.1025, x(1.5)=1.157625, etc.