In 15 and 16 use a graphing utility to graph the indicated solution.

S343 Section 2.5 Notes- Autonomous Equations and Population Dynamics 9-6-16 Autonomous equation- = where /independent variable does not appear explicitly o Separable; several uses as models for exponential/logistic growth Exponential Growth o Let = () be population at time ; rate of change of proportional to current value of = where = rate of growth/decline = 1 = 1 ∫ = ∫ ln = +