Please check my derivation of gain of single ended diff amp.

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Alan8947

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I am having a very difficult time verifying the equations for full differential amplifier. I literally read all the articles I can find from Google. Here is one of the question I think the paper by Jim Karki is wrong. The equation is equation (9). I verified the rest of the equation already, only the (9) is wrong. But I want to verify this here first. This is the paper I am referring to:

https://www.ti.com/lit/an/slyt310/slyt310.pdf

Attached is my work to proof the article is wrong.

Please help me double check my work.

Thanks
 

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No: equation (9) of the cited TI Application Journal states double this value.
 

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