1. Show that the extraneous z-plane pole z 2 resulting from AB-2 integration of the first-order system dx/dt=λx + u is approximately equal to 0.5λT when λT Simulate the unit step response of the...

1. Show that the extraneous z-plane pole z₂
resulting from AB-2 integration of the first-order system dx/dt=λx + u is approximately equal to 0.5λT when λT

Simulate the unit step response of the first-order system dx/dt = λx + u using AB-2 integration, and plot both x(t), t ≥ 0 and x(n), n = 0, 1, 2, … for the following cases: