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Consider a population y(t) which obeys the IVP y'(t) = f(y) = -0.1(1 - y 10 ) y, y(0) = yo. Find y = f(y)f'(y)
Consider a population y(t) which obeys the IVP y'(t) = f(y) = -0.1(1 - y 10 ) y, y(0) = yo. Find y" = f(y)f'(y) = 0.01y ( -1) (,-1), and then use qualitative analysis to decide which statements, if any, are true. a. The population thrives for all yo > 10. b. The solution graphs are decreasing and concave up in the region 5
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