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Inside this Book – Suppose there are two lakes located on a stream. Clean water flows into the first
lake, then the water from the first lake flows into the second lake, and then water from the second
lake flows further downstream. The in and out flow from each lake is 500 liters per hour. The first
lake contains 100 thousand liters of water and the second lake contains 200 thousand liters of water.
A truck with 500 kg of toxic substance crashes into the first lake. Assume that the water is being
continually mixed perfectly by the stream. a) Find the concentration of toxic substance as a function
of time in both lakes. b) When will the concentration in the first lake be below 0.001 kg per liter? c)
When will the concentration in the second lake be maximal?
Inside this book –Notes on Diffy Qs Differential Equations for Engineers PDF Book by Jiří Lebl – There is only one critical point and it is unstable. When the population starts above 4 million it will tend towards 4 million. If it ever drops below 4 million, humans will die out on the planet. This scenario is not one that we (as the human fast food proprietor) want to be in. A small perturbation of the equilibrium state and we are out of business. There is no room for error. See Figure 1.9 on the following page. Finally if we are harvesting at 2 million humans per year, there are no critical points. The population will always plummet towards zero, no matter how well stocked the planet starts. See Figure 1.10 on the next page.
Notes on Diffy Qs Differential Equations for Engineers by Jiří Lebl PDF : eBook Information
- Full Book Name – Notes on Diffy Qs Differential Equations for Engineers
- Author of this Book – Jiří Lebl
- Language – English
- Book Genre – Novel, Reference, Engineering, Analysis, Calculus, Mathematics
- Download Format – PDF
- Size – 3.1 MB
- eBook Pages –371
- Price – Free