A 1/8-kg mass is attached to a spring with stiffness 16N/m. The damping constant for the system is 2N-sec/m. If the mass is moved 3/4 to the left of the equilibrium and gives an initial leftward velocity of 2m/sec, determine the equation of motion of the mass and give its damping factor, quasiperiod and quasifrequency?

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.