A 5-kg mass is attached to a spring whose stiffness constant is 80 N/m. The damping is negligible. The mass is displaced through a distance of 0.5 m to left of the equilibrium position and given a velocity of 2 m/s to the right. (c) Find the time when the mass returns to its equilibrium position for the first time.

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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.