(adsbygoogle = window.adsbygoogle || []).push({}); reduce order of ODE y"=c-2y'2/y

I'm stumped trying to come up with the appropriate substitution for:

y''=c-2y'^{2}/y

c is a constant and the dependent variable does not appear in the equation. According to the paper I am working from the equation can be reduced to a Bernoulli-type problem and solved, but I can't seem to replicate their work. Any hints?

y'=0 at the far boundary and y(0)=y0

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

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!

# Reduce order of ODE y =c-2y'2/y

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