Example Suppose that P(r)=Cekt is the population of a colony of bac- teria at time t(hours,h), {om8二c2-c- c=1000, 2000=P(1)=Ck 1k=ln2≈0.693147 Thus, P(t)=1000.2 4口14①y4至2000 Ordinary Differential EquationsExample Suppose that P(t) = Cekt is the population of a colony of bac￾teria at time t (hours, h), ( 1000 = P(0) = Ce0 = C, 2000 = P(1) = Cek =⇒ ( C = 1000, k = ln 2 ≈ 0.693147 Thus, P(t) = 1000 · 2 t To predict the number of bacteria in the population after one and a half hours (t=1.5) is P(1.5) = 1000 · 2 3 2 ≈ 2828 Ordinary Differential Equations