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## Homework Statement

A tank contains 2740 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a tank at the rate 3 L/min The solution is mixed and drains from the tank at the same rate.

## Homework Equations

I guess I need to solve for ds/dt, which I think would be something along the lines of

ds/dt=.15-3s/2740, or the rate at which the sugar enters minus the rate at which it leaves.

## The Attempt at a Solution

So far I've found the equation above and I think that the solution is something like e^[(-3*t)/2740], but my online homework thing keeps saying that it is wrong. Also, that solutino doesn't work for s(0)=0 and subtracting one from the above equation does not work. Does anybody have any suggestions? I think I might be solving the differential equation wrong, but I'm sure that my integrating factor is correct. Thank you very much.