Find the transfer function model of the following differential equations,

$($a$)a_n\frac{d^{n}y}{d{t}^n}+a_{n-1}\frac{d^{n-1}y}{d{t}^{n-1}}+$cdots$+a_1\frac{dy}{dt}+a_{0}y=b_m\frac{d^{m}u}{d{t}^m}+b_{m-1}\frac{d^{m-1}u}{d{t}^{m-1}}+$cdots$+b_1\frac{du}{dt}+b_{0}u$

$($b$)a_2\frac{d^{2}y}{d{t}^2}+a_1\frac{dy}{dt}+a_{0}y=b_1{u}_1+b_2{u}_2$