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).

\(\frac{\frac{1}{5} s^{2}+1}{s^{2}+\frac{3}{5} s+\frac{1}{10}}\)

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