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3301数学简单derivationmedium

Logistic Growth Carrying Capacity

题目

Consider the logistic ODE x(t)=1x(t)(1x(t)10)x'(t)=1x(t)\left(1-\frac{x(t)}{10}\right) with initial value x(0)=2x(0)=2. What is the long-run limit of x(t)x(t) as tt\to\infty?

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