Question: Consider a system with the following transfer function: 27 H(s) (s + 1)(s + 2) (a) Find the mathematical ODE of the system. Please

Consider a system with the following transfer function: 27 H(s) (s +

Consider a system with the following transfer function: 27 H(s) (s + 1)(s + 2) (a) Find the mathematical ODE of the system. Please show all steps and state all assumptions. (b) Determine the solution of the system ( i.e. find an expression for the the output of the system in time domain).

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