Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflow are both 175 cubic km/year. Suppose that the time t=0 (years), its pollutant concentration is 0.6%, and that thereafter the concentration of pollutants in the inflowing water is 0.01%. Assuming that the outflow is perfectly mixed lake water, find the initial-value problem and how long will it take to reduce the pollution concentration in the lake at 0.03%?

Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflow are both 175 cubic km/year. Suppose that the time t=0 (years), its pollutant concentration is 0.6%, and that thereafter the concentration of pollutants in the inflowing water is 0.01%. Assuming that the outflow is perfectly mixed lake water, find the initial-value problem and how long will it take to reduce the pollution concentration in the lake at 0.03%?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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ELEMENTARY APPLICATIONS OF DIFFERENTIAL EQUATIONS.
Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflow are both 175 cubic km/year. Suppose that the time t=0 (years), its pollutant concentration is 0.6%, and that thereafter the concentration of pollutants in the inflowing water is 0.01%. Assuming that the outflow is perfectly mixed lake water, find the initial-value problem and how long will it take to reduce the pollution concentration in the lake at 0.03%?

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