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Contents In this lecture we discuss modeling with differential equations, the unifying concept of lectures 17–20. We also take a first look at a class of differential equations called "separable." Quick Question What function Q satisfies the differential equation dQ/dt = et? Answer Outline Outlines for Modeling with Differential Equations Textbook Modeling with Differential Equations; Separable Differential Equations: First Look Today's Homework Log into WebWorK Quiz Modeling with Differential Equations Quiz Examples Match three equations with the differential equations they satisfy Match four differential equations with their slope fields Solve the differential equation dy/dx = y/x2 by separation of variables. Use the initial condition f(−1/3) = e to solve for the unique solution. Applets Slope Field Videos What is a differential equation? The differential equation: y′ = 2x + 2

Lecture 16 | Index | Lecture 18