An electric system shown below has an input x(t) ad an output y(t). R is the resistance, C1 and C2 are the capacitance. a) Determine the differential equations that relates the input voltage x(t) to output voltage y(t). b) Set R=1ohm, C1%-C2%3D1F. Find the system's characteristic roots. c) Find the transfer function of the system using the value R and C1, C2 given in part b. R x(t) C2 y(t)