# Activities

• • • ##### Subject Area

• Math: Calculus: Applications of the Derivative

• ##### Author College

60 Minutes

• ##### Device
• TI-92 Plus / Voyage™ 200

TI Connect™

• ##### Accessories

TI Connectivity Cable

## Differential Equations on the TI-92 Plus

#### Activity Overview

This activity acquaints students with the features and capabilities of the calculator that are used to study concepts related to differential equations. Students graph and solve a range of differential equation problems.

#### Before the Activity

• Use the TI Connect™ and the TI Connectivity Cable to transfer data from the computer to the calculator
• See the attached PDF file for detailed instructions for this activity
• Print pages 1 - 10 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

• Enter a first or second order differential equation (DE) using the Prime operator
• Use the deSolve command to obtain solutions for the DE
• Recognize the fact that the independent variable is always t
• Enter the initial conditions and plot a graph
• Trace the graph to see numerical values corresponding to the solution
• Observe the table of values for the solution, and note the values outside the interval
• Superimpose the analytic solution on the graph
• Repeat the steps for different problems
• #### After the Activity

Students answer the questions on the activity sheet.

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary