Will later model (5,2) logic board fit earlier MacBook?

I have an excellent computer, Macbook Intel Core 2 Duo (P7350) ("Penryn"); Early 2009 Model 5,2; 13 inch screen; 2 GHz processor(s); 6 GB of RAM.

Problem: The audio out socket has decided to no longer function; it seems to be that the metal contacts have sprung apart and do not wish to return to the normal closed position. This means the internal speakers do not work, among many other things.

I was looking for solutions, when it occurred to me that I could purchase the 2.13 GHz logic board from iFixit to effect a cure - plus it would be slightly faster and I'd have a spare logic board. I realise this is expensive, but I cannot see how else to fix the audio out problem - and I don't wish to start fiddling with the logic board (to which the audio-out is soldered directly) without a replacement for said logic board.

So, my question is: will the later 2.13 GHz (Model 5,2) logic board fit the holes and insides of my (slightly earlier). Given that iFixit does not have the older 5,1 model logic board for sale, but does have the later 5,2 model for sale, I was wondering if anyone knew whether the "holes" all lined up?

The relevant URL's for the logic boards in question are:

For the logic board presently fitted (that came with the mac):

MacBook (Early 2009) 2 GHz Logic Board

For the logic board that SEEMS to fit (but I'm not sure):

MacBook (Mid 2009) 2.13 GHz Logic Board