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I have the following equation

[tex]\int \!v{dv}=-{\it GM}\,\int \!{y}^{-2}{dy}\]}[/tex]

Integrating I get...

[tex]\[\frac{1}{2}v ^{2}+C _{1}=-GM\essdot\left(-\frac{1}{y }+C _{2}\right)\]}

[/tex]

Now how do I go from what I have above to this

[tex]v ^{2}=2{\it GM} \left(\frac{1}{y }\right)+C \]}[/tex]

How it is possible to combine the separate constants of integration into a single constant of integration? Do these two equations follow in logical steps or are there steps missing which would help explain? Any web sites which could help me understand why we can do this?

I'm also having problems previewing my latex? Why does it always say reload?

Also whenever after I go back to the editing box after previewing I lose all of my line breaks.

Is there any way to prevent that? I always have to copy, preview, go back and paste, then edit... Firefox problem?

Thanks

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# Calc I - Why is it possible to combine these constants of integration?

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