For the following Two-loop Electric Circuit System, R1 Vin(t) R www DO in(t) :C iz(t) the mathematical models applied for the voltages are given in time-domain as: Vr(t) = Ri(t) di(t) V (t) = L dt Vc(t) = i(t) dt L Problem 2: Consider the following block diagrams: R(S) 3 s+a 5s 10 b s+c Y(s) Find the system transfer function Y(s)/R(s). Simplify as much as possible and express the result as a ratio of two polynomials.