Given the transfer function (Y(s) / U(s)), find a. The I/O equation. b. The state-space form directly

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Given the transfer function \(Y(s) / U(s)\), find

a. The I/O equation.

b. The state-space form directly from the I/O equation in (a).

\(\frac{s^{3}+2 s+1}{\frac{2}{3} s^{3}+s^{2}+s+1}\)

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