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## Homework Statement

A pond initially contains 1,000,000 gal of water and an unknown amount

of an undesirable chemical. Water containing 0.01 gram of this chemical per

gallon flows into the pond at a rate of 300 gal/hour. The mixture flows out at

the same rate, so the amount of water in the pond remains constant. Assume

that the chemical is uniformly distributed throughout the pond.

a) Write a dierential equation for the amount of the chemical at any time.

b) How much of the chemical will be in the pond after a very long time?

Does this limiting amount depend on the amount that was present initially?

## Homework Equations

## The Attempt at a Solution

t (hours)

y (grams)

y(0) = y

_{0}

dy/dt = 3g/hr - (??) -- How do I determine the rate at which it's flowing out if I don't know the initial value?