Problem 1: A system is governed by the ODE 4x + 2x = 3u(t). a) Find the transfer function T(s) from the input U(s) to the output X(s). Tu→x = b) Calculate the time constant T and steady-state gain kss. T = kss = c) Sketch the output x(t) for the input u(t) shown below with an initial condition of x(0) = 0. Each grid line marks 1 unit on both axes. 6 5 x(t) 4 3 2 1 -3 -4 -5 O 3 4 5 6 。 -1 -2 -6 0 Time

VDD- 10 Velt 106 ID2 I07 Assume the following: (a) M1 and M2 are matched (b) = 0 for all MOSFETS (c) L identical for all FETS. (d) ID2 = 50 µA. (e) W1=W2=W3=W6=W8 (f) W4=W5=2 x W2 (g) W7=3 x W8 (h) Except for W/L ratios establishëd by the photolithography design, the fabrication process is the same for all FETS. Pay attention to sign convéntions! Provide values for: ID3 ID4 ID7 ID5 = drain circuit for M5! (Trick question. Careful-look at the