Determine the state$-$space model of the system given by the following differential equation:

$y^{}-4y^{}+9y=3u$

Select one:

a$.$ None of these

b$.\left[\begin{array}{c}{x}_1^{}\\ x_2^{}\end{array}\right]=\left[\begin{array}{cc}0& 1\\ -4& 9\end{array}\right]*\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]+$

$y=\left[\begin{array}{cc}1& 0\end{array}\right]*\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]+[0]*u$

c$.\left[\begin{array}{c}{x}_1^{}\\ x_2^{}\end{array}\right]=\left[\begin{array}{cc}0& 1\\ -9& 4\end{array}\right]*\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]+$

$y=\left[\begin{array}{cc}0& 1\end{array}\right]*\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]+[0]*u$

d$.$

$\left[\begin{array}{c}{x}_1^{}\end{array}\right]$

$x_2^{}=\left[\begin{array}{ccc}0& 1& 4\end{array}\right]$

$-9*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+$

$y=\left[\begin{array}{cc}1& 0\end{array}\right]*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+[0]*u$