The loudness of sound (L, measured in decibels) perceived by the human ear depends on intensity levels (I) according to L = 10 log where I, is the standard threshold of audibility. If x = then using the change-of-base formula, we get 10 In(x) L. In(10) At what rate is the loudness changing with respect to x when the intensity is 60 times the standard threshold of audibility (that is, when x = 60)? dL = (0.0723) dx Need Help? Watch It

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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.