A population P(t)P(t)P(t) is modeled by dPdt=0.05P\frac{dP}{dt} = 0.05PdtdP=0.05P. If P(0)=1000P(0) = 1000P(0)=1000, find P(t)P(t)P(t).
P(t)=1000e0.05tP(t) = 1000e^{0.05t}P(t)=1000e0.05t
P(t)=1000e5tP(t) = 1000e^{5t}P(t)=1000e5t
P(t)=1000+0.05tP(t) = 1000 + 0.05tP(t)=1000+0.05t
P(t)=1000(1+0.05t)P(t) = 1000(1 + 0.05t)P(t)=1000(1+0.05t)