This activity is an application of differential equations and slope fields. Students first go through the traditional paper and pencil method of solving a differential equation.
Before the Activity
Students then use the symbolic capacity of their calculator and calculus to solve the equation more easily. At the end they use the calculator's differential equation solver and slope field procedure.
See the attached Activity PDF file(s) for detailed instructions for this activity.
During the Activity
Follow the procedures outlined in the activity.
Solve a differential equation and verify the solution using Slope Fields.
After the Activity
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary