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Derive analytically the transconductance transfer function (Iout/Vin)

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promach

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I am planning to derive analytically the transconductance transfer function (Iout/Vin) of this Gm2.sch circuit block. https://i.imgur.com/zqFCygR.png

Is my small-signal model https://i.imgur.com/fc1PtQx.jpg for Gm2.sch correct ?

Gm2.png

Gm2 small signal model.jpg
 

I am planning to start nodal analysis to formulate analytically the transconductance transfer function (Iout/Vin) tomorrow.

However, there are so many nodes in this small-signal circuit. Which nodes should I pick for a start ? I believe I need to use all nodes such that I include all mosfets and resistors into the equation ?

Besides, I am going to use qsapecng analog circuit symbolic analysis software to verify my own hand calculation. Anyone have any experience/advice regarding this ?
 

ignoring channel length modulation means deleting ro from the small-sgnal model ?

I only have three equations after performing nodal analysis. Are they sufficient ?

Gm2 transconductance nodal analysis.jpg
 

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