Exponential Growth and Decay

# "exp functions grow at a rate proportional to their current value" # "unlimited exponential growth" # dP/dt = kP implies P(t) = exp(kx). # limited growth: logistic function: dP/dt = kP(C-P) # dP/dt = -kP implies P(t) = exp(-kx). # "exponential decay" # half-life