#### Problem 3.1

A written solution of this problem is found here

#### Problem 3.2

- A written solution of this problem is found here

An animation of two coupled oscillators is shown below.

secondMode from Marwan Sarieddine on Vimeo.

FirstMode from Marwan Sarieddine on Vimeo.

#### Problem 3.3

- written solution of this problem is found here