In a 2nd-order process, the time constant and the process gain are given by τ = 2 and k = 3, respectively. A step change of the magnitude Δm = 4 is introduced to the process input. Plot the...

In a 2nd-order process, the time constant and the process gain are given by τ = 2 and k = 3, respectively. A step change of the magnitude Δm = 4 is introduced to the process input. Plot the dimensionless response y(t)/(kΔm) as a function of time t (0≤t≤40) for each value of the decay ratio ζ = 1, 1.5, 2.0, and 2.5.