Question: The I/O equation for a dynamic system is given as (3 ddot{x}+2 dot{x}+4 x=f(t)), where (f) and (x) denote the input and output, respectively. a.

The I/O equation for a dynamic system is given as \(3 \ddot{x}+2 \dot{x}+4 x=f(t)\), where \(f\) and \(x\) denote the input and output, respectively.

a. Find the system's transfer function.

b. Assuming \(f(t)\) is the unit impulse, find the expression for \(X(s)\) by using (a).

c. Find the steady-state value \(x_{s s}\) via the final-value theorem.

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