on 2-8. The following differential equations represent linear time-invariant systems, where r(t) de- notes the input, and y(t) the output. Find the transfer function Y(s)/R(s) for each of the systems. d'y(t) dy(t) dy(t) dr² dr(t) +r(t) (a) +2- dt³ +5- dt +6y(t) = 3- dt d'y(t) dy(t) dy(t) (b) +10- + dr² dr² +5y(t) = 5r(t) dt d³y(t) dy(t) dy(t) (c) +10- +2- dr³ dr² + y(t) + 2 dt [3(T)d = dr(t) +2r(1) dt (d) 2- dr² dy(t) dy(t) + +5y(t) = r(t) + 2r(1-1) dt