Question

Differential equation of damped harmonic oscillator by sl guptha

Answer 1

hey mate here is your answer

The general problem of motion in a resistive medium is a tough one. We will make one assumption about the nature of the resistance which simplifies things considerably, and which isn't unreasonable in some common real-life situations.

Start with an ideal harmonic oscillator, in which there is no resistance at all:

We could write the equation this way ...