If a population P(t)P(t)P(t) satisfies dPdt=0.5P\frac{dP}{dt} = 0.5PdtdP=0.5P with P(0)=100P(0) = 100P(0)=100, what is the population at t=2t = 2t=2?
100e100 e100e
100e0.5100 e^{0.5}100e0.5
200200200
100100100