Cycloid differential equation deduction?

JP7PlaysMC

New member
Joined
Mar 28, 2017
Messages
4
Hello forum!

I'm here today to ask a question about differential equations, as me and a colleague of mine are partaking in a contest and have chosen to take a look at Johann Bernoulli's cycloid deduction from Snell's Law.
Some physics' properties we used so far are the kinetic energy theorem and, well, Snell's Law, in which Sin θ/v (or in θ/√2gh) = constant.
We don't have much knowledge of differential equation but decided to take this as a challenge. If any of you can help us deduct the final cycloid differential equation from the one we got to we'd very much appreciate it.
Besides, if any information is missing be sure to let us know! The following picture shows what we got.


[h=3][/h][h=3][/h]17842032_1453150561402596_187554165_n.jpg
 
Top