The volume of water remaining in a hot tub when it is being drained satisfies the differential equation dV/dt = −3(V)^1/2 , where V is the number of cubic feet of water that remain t minutes after the drain is opened. Find V if the tub initially contained 225 cubic feet of water.
The given function is a variable separable differential equation. Combine like terms, integrate, apply the appropriate limits, and express V in terms of t. This is done as follows:
