Calculus on Demand at Dartmouth College Lecture 16 | Index | Lecture 18 Lecture 17

## Resources

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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?

### Outline

Outlines for Modeling with Differential Equations

### Textbook

Modeling with Differential Equations; Separable Differential Equations: First Look

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### 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.

• Slope Field

### Videos

• What is a differential equation?
• The differential equation: y′ = 2x + 2

Lecture 16 | Index | Lecture 18