a$)$ A system is defined by the following Ordinary Differential Equation $($ODE$)$:

$2\frac{d^{2}y(t)}{d{t}^2}+4\frac{dy(t)}{dt}=9x(t)$

Please note: the Fourier and Loplace transforms of the $n-$th order derivate are given below:

$F(\frac{d^{n}y(t)}{t^n})=(j{)}^{n}Y(),$ and $,L(\frac{a^{n}Y(t)}{t^n})=(s{)}^{n}Y(s)$

i$)$ Transform the time domain ODE into the Fourier domain and use your result to write an expression for the Frequency Domain Transter Function $H()=Y\frac{}{x}().$

ii$)q,$ an expression for the Laplace Domain Transfer Function $H(s)=Y(s)|x(s)|.$