(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The problem occurred when solving [tex] x'' - \frac{1}{x^2} = 0 [/tex].

You can think of this as if there is a mass in the origin (M) and a small particle (m << M) is being pulled by this mass.

Daniel helped me to solve this diff. eq. and we are at

2. Relevant equations

[tex]\frac{1}{2} (x')^2 + \frac{1}{x} = C[/tex] where C is a constant.

3. The attempt at a solution

I asked Mathematica to solve [tex] \int \frac{dx}{2\sqrt{C-1/x}} [/tex]. It gives me some very complicated formula which isn't too handy. At first, this problem seemed to me a trivial exercise, but now I realize that this may not be an easy one. I hope somebody can help. Thank you very much in advance!!!

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# Homework Help: Very complicated formula

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