Mathematics for aspiring physicists

IAP 2021

Lecture 7


2.3 Higher order coupled ODEs

2.3.1 General form

[Related video will appear at the end of the lecture]

 

2.3.2 Normal modes

2.3.3   Chain of masses connected by springs

Normal modes for 3 blocks

Normal modes for 4 blocks

Normal modes for N blocks

* General higher order ODEs  [Related notes at the beginning of the lecture]

Recap  

(Combined notes for lecture 7)

Exercises:  


MathPhys lec7 - last update 1/1/21 by M. Kardar