Answer to Question #46851 in Differential Equations for Abdul

Question

This problem should be solved using a differential equation:
A person is trying to fill a bathtub with water. Water is flowing into the bathtub from the tap at a constant rate of k litres/sec. However, there is a hole in the bottom of the bathtub and water is flowing out of the bathtub at a rate proportional to the square of the volume of water present in the bathtub. If V(t) is the volume of water (in litres) present in the bathtub at time t (in seconds) and the bathtub initially contains V(0) litres of water.

How can a differential equation of this problem b e written? (not solve just writing the equation)