Hi,(adsbygoogle = window.adsbygoogle || []).push({});

This is my problem:

Consider a lake of constant volume V containing at time t an amount Q(t) of pollutant,

evenly distributed throughout the lake with a concentration c(t), where c(t) = Q(t)/V .

Assume that water containing a concentration k of pollutant enters the lake at a rate r ,

and that water leaves the lake at the same rate. Suppose that pollutants are also added

directly to the lake at a constant rate P.

If at time t = 0 the concentration of pollutant is c0 , find an expression for the concen-

tration c(t) at any time. What is the limiting concentration as t → ∞?

I have no clue how to solve this notably because pollutants are flowing in and being added. I've been at it for an hour and half with nothing to show so I thought I'd turn to the forums.

Any help would be great,

Thanks

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# Homework Help: Linear Differential Problem(Pollutants into a lake)

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