Q$3)$ Consider a mechanical system that satisfies the following differential equation:

$5x^{}+2x^{}+4x^{}{?}^2+20x+3x^3=u$

Linearize the above nonlinear system at $x_0=x_0^{}=1,x_0^{}=0,$ with $x=x_0+x$ and $u=u_0+u$ such that the resulting differential equation is a function of $x$ and $u.$ Also, find the corresponding linearized transfer function $x\frac{s}{}U(s)=L\frac{x(t)}{L}[u(t)].$ Indicate all the six steps as in the lectures clearly.

l need answer please.