The dynamics of a hypothetical system can be presented by a third-order linear ordinary differential equation as

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The dynamics of a hypothetical system can be presented by a third-order linear ordinary differential equation as

\[\frac{d^{3} x}{d t^{3}}+4 \frac{d^{2} x}{d t^{2}}+3 \frac{d x}{d t}+5 x-9=0\]

If the system output is linearly dependent on the parameter \(x\) such that \(y=x\), transform the system differential equation into the corresponding State-Variable Matrix model. Do the same problem using MATLAB.

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