If dPdt=0.1P\frac{dP}{dt} = 0.1PdtdP=0.1P, what is the population P(t)P(t)P(t) if P(0)=50P(0) = 50P(0)=50?
P(t)=50+0.1tP(t) = 50 + 0.1tP(t)=50+0.1t
P(t)=50e0.1tP(t) = 50e^{0.1t}P(t)=50e0.1t
P(t)=0.1e50tP(t) = 0.1e^{50t}P(t)=0.1e50t
P(t)=50e10tP(t) = 50e^{10t}P(t)=50e10t