differential equation:

$33+522+17+11=13+9$Draw the following response of the system of Question $1$ and use the PSO algorithms, identify the system $($hint: using python scipy and numpy$)$:

$$ Response of the system when the system is subjected to an impulse of $33$ units

$$ Response of the system when the system is subjected to step input of $2\mathrm{.}5$ units

$$ A pole$-$zero plot

$$ A Bode plot