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Screenshot 2019-05-02 at 4.51.44 AM.png - Observe that...

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Unformatted text preview: Observe that P(c(0)) — D(c(0)) = P(8) — D(8) > 0,according to the graph. Therefore, gm) 2 P(c(0)) — D(c(0)) is positive initially, so that cwould increase with time. On the other hand, the value C(O) = 8 falls in the interval (5, 20), Le, 5 < 8 < 20. Remember that when the graphs of P(c) and D(c) intersect, we have dc — = P (c) — D(c) = 0. In other words, the steady states 0 are obtained at the intersection points. In the graph, when we start from 6(0) 2 8 and move to the right dt (because it increases with time), the first steady state that we meet is c = 20. Therefore, c approaches the steady state c = 20. Answer: c = 20 ...
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