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1. Consider a pond that initially contains 10 million gal of fresh water. Stream water containing an undesirable chemica
Posted: Thu May 12, 2022 10:24 am
by answerhappygod
- 1 Consider A Pond That Initially Contains 10 Million Gal Of Fresh Water Stream Water Containing An Undesirable Chemica 1 (32.05 KiB) Viewed 28 times
1. Consider a pond that initially contains 10 million gal of fresh water. Stream water containing an undesirable chemical flows into the pond at the rate of 5 million gal/yr, and the mixture in the pond flows out through an overflow culvert at the same rate. The concentration y() of the incoming water varies periodically with time t, measure in years, according to the expression y(t) = 2 + sin 2t g/gal. a. Write out the differential equation that models this scenario. Include the initial value as well. b. Solve the initial value problem from a. You may use technology to help with the integration. C. Plot this solution for t € (0,20) years. What is happening to this pond as time moves on?