Exponential Models with Differential Equations

This study guide covers exponential models using differential equations. It explains how to solve the differential equation dy/dt = ky to derive the exponential growth/decay model y = y₀e^(kt). It provides examples of applying this model to real-world scenarios like population growth and drug elimination rates, including setting up the equation, finding k (the constant of proportionality), and solving for future values. Practice problems and solutions are included.