For the DC analysis, the capacitors can be replaced by open circuits.
Since \(I_G \simeq 0\ A\) and \(I_D = I_S\)
\(\boxed{V_{DS} = V_D = V_{GS} = V_G}\)
\(-V_{DD} + I_D R_D + V_{DS} = 0\)
\(\boxed{V_{GS} = V_{DS} = V_{DD} - I_D R_D}\)
For \(V_{GS} > V_{GS(Th)}\), substitute \(V_{GS}\) to the transfer curve equation:
\(\boxed{k = \frac{I_{D(on)}}{\left( V_{GS(on)} - V_{GS(Th)} \right) ^ 2}}\)
\(I_D = k \left( V_{GS} - V_{GS(Th)} \right) ^ 2\)
\(\boxed{I_D = k \left( V_{DD} - I_D R_D - V_{GS(Th)} \right) ^ 2}\)
\(\boxed{V_S = 0\ V}\)