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do i have to substitute Vin=Vt initially and then continue solving ??

https://6002x.mitx.mit.edu/wiki/view/HW5solution/

I tried with this - (RS*K*(vIN-VT)+1-sqrt((K*(vIN-VT)*RS+1)^2-K)) but doesn't work

(RS*K*(vIN-VT)+1-sqrt((K*(vIN-VT)*RS+1)^2-K^2*RS^2*(vIN-VT)^2))/(K*RS^2)

ohhh I saw only the half of it :) THX

your welcome im just about to start hw6 and every answer must be submited in a algabreic equation

(RS*K*(vIN-VT)+1-sqrt((K*(vIN-VT)*RS+1)^2-K^2*RS^2*(vIN-VT)^2))/(K*RS^2)

Write an algebraic expression for iDS in terms of K, vIN, vOUT, and VT.

pls some one help me out???