Session Overview
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In this session we will introduce our most important differential equation and its solution: y' = ky. This DE models exponential growth or decay. We will also learn how to solve what are called separable equations. Finally, we will see first-order linear models of several physical processes. |
Session Activities
Read the course notes:
Check Yourself
Take the quizzes:
- Separation of Variables (PDF)
- Choices (PDF)
- Answer (PDF)
- Is it Separable? (PDF)
- Choices (PDF)
- Answer (PDF)
Session Activities
Read the course notes:
Learn from the Mathlet materials:
- Watch the video Introduction to the 18.03 Applets (00:08:06)
- Transcript (PDF)
- Work with the Amplitude and Phase: First Order Applet
Watch the problem solving video:
- Separable Equations (00:07:18)
- Transcript (PDF)
Complete the practice problem:
Check Yourself
Complete the problem sets:
- Problem Set Part I (PDF)
- Problem Set Part I Solutions (PDF)
- Problem Set Part II (PDF)
- Problem Set Part II Solutions (PDF)