When a vertical beam of light passes through a transparent medium, the rate at which its intensity I decreases is proportional to  I(t),  where t represents the thickness of the medium (in feet). In clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity  I0  of the incident beam. What is the intensity of the beam 17 feet below the surface? (Give your answer in terms of  I0.

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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.