The equation of motion describing the damped free vibrationsof a system with viscous damping is :
"m\\overset{\u2022\u2022}{x}+ c\\overset{\u2022}{x}+kx=0"
where "c" is a constant called the coeficient of viscous damping.
Let us define a critical damping coefficient "c"
"2m\\sqrt{\\frac{k}{m}}=2m\\omega_n"
where "\\omega_n" is the natural frequency of the system in the absence of damping
So, this equation describes the wave equation having damped oscillations.
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