Week 10

Real-World Use: Physical applications and Cauchy-Euler equations

10.1: Springs and oscillations

Springs and oscillations are classic examples of physical systems that can be modeled using linear differential equations.

In these notes, you’ll explore how the behavior of springs and the forces associated impact oscillation, based on forcing and damping, and how to solve them.

Cauchy-Euler equations are a very specific type of linear differential equation with a particular form.

In these notes, you’ll learn how to recognize and solve Cauchy-Euler equations.

10.2: Cauchy-Euler equations

Recitation Slides

Attend recitation! But in case you were staying up late the night before or you’re looking to last-minute study cram, here are Week 10 recitation slides and solutions!

Find out what was discussed last week or jump ahead to next week

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