Write the equation of angular frequency and amplitude for damped oscillation.

(N/A) For a damped harmonic oscillator,the equation of motion is given by $m \frac{d^2x}{dt^2} + b \frac{dx}{dt} + kx = 0$.
The amplitude of a damped oscillation decreases exponentially with time and is given by $A(t) = A_0 e^{-bt/2m}$,where $A_0$ is the initial amplitude,$b$ is the damping constant,$m$ is the mass,and $t$ is time.
The angular frequency of the damped oscillation is given by $\omega' = \sqrt{\frac{k}{m} - \left(\frac{b}{2m}\right)^2}$,where $k$ is the spring constant.