Mechanical Vibrations (differential equations) A mass weighing 4 pounds is attached to a sping whose constant is 2lb/ft. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point one foot above the equilibrium position with a downward velocity of 8ft/s. Determine the time at which the mass passes through the equilibrium position.

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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.