Solution 2:

Find VM:

VM = [Vdd + Vt,P + Vt,N.Sqrt(KN/KP)] / [ 1 + KN/KP ]

= [3.3 - 0.8 + 0.6.Sqrt(1.5)] / [ 1 + sqrt(1.5) ]

= 1.45 V

Since Vin = 2V > VM => NMOS is linear and PMOS is saturated.

Equating the drain currents of NMOS & PMOS :

(KP/2)[ ( VSG,P + Vt,P )^2 ] = KN[ ( VGS,N - Vt,N ) Vo - (Vo^2)/2 ]

(10/0.6) [ (3.3 - 2 - 0.8)^2 ] = (30/0.6)[ (2 - 0.6 ) Vo - (Vo^2)/2 ]

Vo = 0.0608V

Which satisfies the requirement for the NMOS to be in linear region

and the PMOS to be in the saturation region.