- #1
CE Adamson
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A geometry problem I'm working on has boiled down to finding a function ##f(t)## such that $$f'' + \frac{2}{t}f' + \frac{f'^2}{\left( 1 - \frac{f}{t} \right) t } + \frac{f'f}{\left(1- \frac{f}{t} \right) t^2} = 0$$ It has two fairly simple solutions, namely ##f(t) = a## and ##f(t) = \frac{k}{t}##, a and k numeric constants. What I'm trying to figure out is the more general solution with two parameters, something like ##f(t) = a + \frac{k}{t}##, except of course that doesn't quite work.
Anybody have any suggestions on how to attack the problem?
Anybody have any suggestions on how to attack the problem?