Q. 114.8( 8 Votes )

Assume that a raindrop evaporates at a rate proportional to its surface area. Form a differential equation involving the rate of change of the radius of the raindrop.

Answer :

Let r be the radius of the raindrop, V be its volume and A be its surface area

Given



Negative because V decreases with an increase in t


is a proportionality constant


Now, we know that



So, we have,





Hence, the required differential equation is


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