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## Homework Statement

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Hey, all. I am working through Kleppner/Kolenkow and encountered a problem when trying to follow the example pictured below. My issues comes when they say "Equations (1)-(3) are easily solved..."

As it turns out, they are not so easily solved for me! So, it appears I've found a hole in my mathematical training that needs to be filled (K&K have proved to be good at exposing these weak spots).

## Homework Equations

All pictured above.

## The Attempt at a Solution

Frankly, I'm not sure where to begin. I've tried expanding the ##\ddot{y_1}## and ##\ddot{y_2}## terms using ##(3)##, but the equations quickly become quite long. I haven't had the time to really sit down and see if they eventually clean up nicely and give the desired result, but truth be told, I don't feel too confident going into this and would love some help.