First Order Linear ODE's

Session Overview

In this session we will start our study of linear equations, which is probably the most important class of differential equations. We will introduce the ideas and terminology of superposition, systems, input and response which will be used for the rest of the course.

Session Activities

Read the course notes:

• First Order Linear ODE's: Introduction (PDF)

Watch the lecture video clips:

• Linear First Order ODE's: Definition (00:07:26)
• Transcript (PDF)
• Linear First Order ODE's: Examples (00:15:47)
• Transcript (PDF)

Read the course notes:

• Linear First Order ODE's: Definition and Examples (PDF)

Check Yourself

Take the quizzes:

• Is It Linear? (PDF)
• Choices (PDF)
• Answer (PDF)


• Interpret the Graph (PDF)
• Choices (PDF)
• Answer (PDF)

Session Activities

Read the course notes:

• Systems: Input and Response (PDF)
• Superposition Principle (PDF)

Watch the problem solving video:

• Linear Equations (00:10:41)
• Transcript (PDF)

Complete the practice problems:

• Practice Problems 4 (PDF)
• Practice Problems 4 Solutions (PDF)

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