1. The problem statement, all variables and given/known data Suppose water leaks out of a barrel at a rate proportional to the square root of the depth of the water. If the level starts at 36 in. and drops to 35 in. after 1 hour, how long will it take for all the water to leak out of the barrel? I have to choose and implement a differential equation solution method to determine a solution. 2. Relevant equations N/A 3. The attempt at a solution dL/dt = -√(L), where L is the water level and t is time in hours ∫dL/-√(L) = ∫1dt -2√(L) = t + c L = ((t+c)/2)^2 36 = (-c/2)^2 c = 12 So now that I've solved for the constant using the initial condition, I'm not sure what to do. I think I might've even set up this problem wrong to begin with because when I substitute 1 in for t, I don't get 35, which is what L should equal at that t. Help.