Linearize the following equation around the operating point defined by $u_0=\frac{}{5}$ obtaining in each case the transfer function

$\frac{Y(s)}{U(s)}$:

$4*(y^{\text{'}}{)}^5+4*y*y^{\text{'}}+3*y=1*u^{\text{'}}*cos(u)+1*u^3$

a$.\frac{3,236s+4,737}{0,992s+3,000}$

b$.\frac{0,809s+18,950}{0,992s+3,000}$

c$.\frac{0,809s+1,184}{0,992s+3,000}$

d$.\frac{3,236s+5,922}{0,992s+6,000}$