DRAW THE BLOCK DIAGRAM Example Framework:

For a second$-$order system:

$y^{}+a_1{y}^{}+a_{0}y=b_{0}u(t)$

Define state variables:

$x_1=y,x_2=y^{}$

State equations:

$x_1^{}=x_2$

$x_2^{}=-a_1{x}_2-a_0{x}_1+b_{0}u(t)$

Output equation:

$y=x_1$