A system is described by its transfer function [frac{Y(s)}{U(s)}=frac{s+frac{1}{3}}{sleft(2 s^{2}+s+2 ight)}] a. Find the I/O equation. b.

A system is described by its transfer function

\[\frac{Y(s)}{U(s)}=\frac{s+\frac{1}{3}}{s\left(2 s^{2}+s+2\right)}\]

a. Find the I/O equation.

b. Find the state-space model from the I/O equation.

c. Build a block diagram based on the information in (b). Find the transfer function directly from the block diagram and compare with the given transfer function.