(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

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

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