IB MAI HL Calculus Topic 5.4 Differential Equations (id: 818a19fef)

本题目来源于试卷: IB MAI HL Calculus Topic 5.4 Differential Equations，类别为 IB数学

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The population P of beayf4:bcp4 5 iiluokk:qu*t r/+rs in+(0v xzjdwix d5(+wj6ai0oc 4p 9ec zl a forest is expected to grow according to the modc z+i+ j6 v(pe0lzijo wwxa(dd0x94c5el

$\frac{\mathrm{d} P}{\mathrm{~d} t}$=$0.2 P\left(1-\frac{P}{2500}\right)$

where t is the time given in years from the beginning of 2020 .
The slope field for this differential equation is as follows:

1. Given that the population at the beginning of 2020 is 100 , sketch the particular solution curve.
2. Find the value at which the population approaches as time increases.
From the slope field we find the population approaches   .

参考答案: 2500


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