DP2.3 An input r(t)=t, t20, is applied to a black box with a transfer function G(s). The resulting output response, when the initial conditions are zero, is 1 -2t 3 1 y(t) = e + t,t > 0. 4 4 2 Determine G(s) for this system.

H.W.3 Given A transfer function is used here with input r, output y, and all required initial conditions. To better illustrate the procedure, we will apply it to the following illustrative transfer function, T(s). Y(s) s² – 4s + 10 T(s) %3D R(s) g3 - 5s? + 2s – 17 | Draw the block diagram?

Question 2. Find the transfer function Y(s)/X(s) for the system described by the following d²x differential equation d²y +3 dt2 +6+ 5y = +2 d + 9x, where the initial conditions are zero. dt dt dt dt2

iii- The second order system defined by the transfer function 36 C(s) / R(s) is given a unit step input. The damping ratio is s2+ 4.2 s+36 а- 0.32 b- 0.34 с- 0.35 d- 0.37