A first-order dynamic system is represented by the differential equation 5x(t)+ x(t) = u(t).

The corresponding transfer function and state-space representation are a. G(s) = 1 1+5s and x = -0.2x + 0.2u y = x 10 b. G(s) = and x=-0.2x+u 1+5s y = x 1 C. G(s) = and x = -5x+u $ +5 y = x d. None of the above Consider the block diagram in Figure 3.40 for Problems 12 through 14: Td(s) Controller Process Eq(s) + 10 R(s) K Y(s) s+10 FIGURE 3.40 Block diagram for the Skills Check.