Linearize the following equation around the operating point defined by $u_0=3$ obtaining in each case the transfer function $\frac{Y(s)}{U(s)}$:

$1*y^{\text{'}}+6*u*y+5*y=5*u^4+17$

a$.\frac{429,913}{1,000s+23,000}$

b$.\frac{650,087}{4,000s+23,000}$

c$.\frac{650,087}{1,000s+23,000}$

d$.\frac{1730,087}{1,000s+23,000}$