Problem $1(4$ MARKS$)$:

A dynamical system is represented by a second order differential equation as

$0\mathrm{.}25x^{}+x^{}+x=0$

Determine.

The natural frequency in rad$/$s and in Hz $.(2$ marks$)$

The period of oscillation. $(1$ mark$)$

The damping coefficient value. $(1$ mark$)$