Slope Fields

Following the arrows

An interactive lesson with 7 steps, about 6 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

• A differential equation relates a function to its derivatives. Its solutions are functions.
• A slope field draws the required slope everywhere. Solutions follow it.
• An initial condition picks one solution out of the family.

Steps

1. An equation for a rate
2. Slope fields
3. Hit the target
4. Read a slope
5. Equilibrium lines
6. Flowing along the field
7. Translate the words