Find the equation relating the input to output for the series RC circuit of Fig. 1.35 if the input is the voltage x(t) and output is (a) the loop current i(t) (b) the capacitor voltage y(t) R-15 w x(f) i(t) TC = F y(1) Figure 1.35 1.8-1 For the circuit depicted in Fig. P1.8-1, find the differential equations relating outputs y₁(t) and y2(t) to the input x(t). 302 w x(t) y₁(t) 1H y2(f) Figure P1.8-1