I'm working on the Brachistochrone probem and I've gotten to the equation:(adsbygoogle = window.adsbygoogle || []).push({});

(dy/dx)^2 = (c^2*y)/(1-c^2*y)

the 'hint' given is to use y = sin^2(theta)/c^2 to solve the integral. I haven't done any math for 5 months and i haven't been in a pure math class for over a year, so I'm drawing a complete blank on how to solve this. If someone could point me in the right direction that would help.

Also, I'm having trouble approaching a problem in which I'm asked to find the geodesics on a sphere of unit radius using calculus of variations. I'm asked to express phi as a function of theta but that isn't making sense to me...again, some direction would help me get on track.

(^ is supposed to denote a power)

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Brachistochrone Problem/Calculus of Variations

**Physics Forums | Science Articles, Homework Help, Discussion**