Contents

9.1 Mathematical Modeling: Setting up a Differential Equation

The Quantity of a Drug in the Body

9.2 Solutions of Differential Equations

Another Look at Marine Harvesting

General Solutions and Particular Solutions

Existence and Uniqueness of Solutions

9.4 Exponential Growth and Decay

Continuously Compounded Interest

The Quantity of a Drug in the Body

The Quantity of a Drug in the Body

Newton's Law of Heating and Cooling

9.6 Modeling the Interaction of Two Populations

A Predator-Prey Model: Robins and Worms

The Slope Field and Equilibrium Points

Trajectories in the *wr*-Phase Plane

Other Forms of Species Interaction

9.7 Modeling the Spread of a Disease

Flu in a British Boarding School

PROJECTS: Harvesting and Logistic Growth, Population Genetics, The Spread of SARS

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