The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential equation = - kL. From experience, a diver knows that diving to 17 ft in a dx sea cuts the intensity in half. He cannot work without artificial light when the intensity falls below one-fifth of the surface value. About how deep can he expect to work without artificial light? He can work approximately ft deep without artificial light. (Simplify your answer. Round to the nearest tenth as needed.)

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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.