Q$\mathrm{.}9$: Consider the system represented by: $d^2\frac{y}{d}{t}^2+3d\frac{y}{d}t+2y=5u$ where $u$ is given a unit step function. The initial conditions are : $y(0)=-1,y^{\text{'}}(0)=2.$ The time step response at the steady state for the system is found to be:

$($A$)-1\mathrm{.}5$

$($B$)-5$

$($C$)2\mathrm{.}5$

$($D$)1\mathrm{.}5$

$($E$)$ None of these.

Q$\mathrm{.}10$: For the previous equation in Q$\mathrm{.}9,$ in order to find the system transfer function:

$($A$)$ The initial conditions should be equal to zero.

$($B$)$ The input should be given a zero.

$($C$)$ The input should be given as an impulse.

$($D$)$ The input should be given as a ramp.

$($E$)$ None of these.