Question

what is damped oscillation differential equation​

Answer 1

Answer:

Damped harmonic oscillators are vibrating systems for which the amplitude of vibration decreases over time. These are second-order ordinary differential equations which include a term proportional to the first derivative of the amplitude.

Answer 2

Explanation:

Damped Harmonic Oscillators

Damped harmonic oscillators are vibrating systems for which the amplitude of vibration decreases over time. Since nearly all physical systems involve considerations such as air resistance, friction, and intermolecular forces where energy in the system is lost to heat or sound, accounting for damping is important in realistic oscillatory systems. Examples of damped harmonic oscillators include any real oscillatory system like a yo-yo, clock pendulum, or guitar string: after starting the yo-yo, clock, or guitar string vibrating, the vibration slows down and stops over time, corresponding to the decay of sound volume or amplitude in general.

Mathematically, damped systems are typically modeled by simple harmonic oscillators with viscous damping forces, which are proportional to the velocity of the system and permit easy solution of Newton's second law in closed form. These are second-order ordinary differential equations which include a term proportional to the first derivative of the amplitude. As described below, the magnitude of the proportionality describes how quickly the vibrations of the damped oscillator damp down to nothing.

Plz mark as brainliest ❤️ ❤️