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categoryرياضيات schoolبكالوريوس event_available2026-07-14

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*8.3.43 dl To model the spread of a disease in a population of size N, the differential equation model (kb - c)| - N Question Help 2 was derived, where I(t) is the number of infected individuals at time t, and k, b, and c are all positive coefficients. Locate the equilibria of the model and find which of these equilibria are stable. Draw a vector field plot given the following coefficients. k=4,b=2,c=1, N=240 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The stable equilibria are |= and the unstable equilibria are | = (Type an integer or a decimal. Use a comma to separate answers as needed.) B. The unstable equilibria are |= There are no stable equilibria. (Type an integer or a decimal. Use a comma to separate answers as needed.) C. The stable equilibria are |= There are no unstable equilibria. (Type an integer or a decimal. Use a comma to separate answers as needed.) D. There are no equilibria.

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