7. Liquid-level system shown in Fig. 3; input is the voltage vin supplied to the pump. Pressure AP generated by the pump is proportional to the current in the pump circuit, AP = i(t), and inflow q is proportional to this pressure, 9mm = AP. The equations of motion should represent the dynamic relationship between the supplied voltage vi and liquid levels H and H. Assume that H>h and H> h for all t0 + Vin R www 3 pts Pump 901 R H qin R 902 R$ h -A H R3 R 2 h Tank 2 904 903 Tank 1 Figure 3