N09 - Differential Equations

Overview

Standard N09 Document

What is a differential equation? What does it mean to solve a differential equation?

OVERVIEW Class Problem     KEY

RECOMMENDED PRACTICE
     TEXTBOOK​

• ​Lesson 11.1 (What is a differential equation?): Exercises 3, 6, 8, 9, 21, 24.
• Lesson 11.2 (Slope Fields): Exercises 2, 4, 6, 7, 18, 23. Give reasons for 18 and 23.
• Lesson 11.4 (Separation of Variables): Exercises 1, 2, 6, 7, 8, 11, 22, 23.
• Lesson 11.5 (Growth and Decay): Exercises 1, 2, 7, 10, 11.

RECOMMENDED PRACTICE

• ​​Verify solutions to differential equations
• Write differential equations
• Slope fields and equations
• Reasoning using slope fields
• Particular solutions to separable differential equations
• ​Differential equations: exponential model equations

GEOGEBRA EXPLORATION

• ​​This Geogebra calculator creates slope fields. Use the command SlopeField( "expression in x and y" ).

SAMPLE CONTENT ASSESSMENT ITEMS

N09 Sample Assessment Items

N09 AP-Style Questions

N09 - Actual AP Exam Questions (Solutions can be found online at AP Central.)