Consider the following transfer function πY(s)R(s) = s+2(s+3)(s+4)π:
Determine the response, π y(t) π, when the input is a unit step function.
a) π y(t) = e⁻3t(1 - e⁻t) π
b) π y(t) = e⁻4t(1 - e⁻t) π
c) π y(t) = 1 - e⁻3t π
d) π y(t) = 1 - e⁻4t π