Question: 1. Consider an open loop system with the following transfer function; G(s) = 2(s + 4) s(s+ 2) (s+5) a) Find the differential equation

1. Consider an open loop system with the following transfer function; G(s) = 2(s + 4) s(s+ 2) (s+5) a) Find the differential equation of the system. = b) Find the output of the system, Y(s) if the input is U(s): its forced and natural responses. c) Let say the final value of output, (o) for U(s) = s+a s+6 and identify the Identify , is 0.4, find a.

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