An object of weight 10 kg is attached to the free end of a spring and thereby comes to its equilibrium position by stretching the spring 62.5 cm. The object is pulled down 50 cm from the equilibrium position and released at time t = 0. Assuming the damping constant is 8 and no external driving forces, determine object's motion with g = 10 m/s².

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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.