18.03SC | Fall 2011 | Undergraduate

Differential Equations

Unit II: Second Order Constant Coefficient Linear Equations

Linear Operators, Linear Time Invariance

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Session Overview

This session will formally introduce the notion of operators and linearity. Our main example will be p(D), which we have already seen. We will see that linearity is equivalent to the superposition principles, which we have already seen with first-order equations.

Session Activities

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Watch the lecture video clip:

Check Yourself

Complete the problem set:

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Course Info

Learning Resource Types
Lecture Videos
Recitation Videos
Exams with Solutions
Simulations
Lecture Notes
Problem Sets with Solutions