The period of a pendulum varies directly as the square root of the length of the pendulum and inversely as the square root of the acceleration due to gravity. Find the period when the length is 81 cm and the acceleration due to gravity is 980 cm per second​ squared, if the period is 4π seconds when the length is 289 cm and the acceleration due to gravity is 980 cm per second squared.

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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.