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IB MAI HL Calculus Topic 5.4 Differential Equations (id: 2defec47c)

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admin 发表于 2024-3-22 17:55:32 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Calculus Topic 5.4 Differential Equations,类别为 IB数学

[填空题]
A particle P moves io,3va far0w q8s a straightdl)y s;c 6)lsk line such that its displacement x at time t 6)) ls;dylskc$\geq 0$ is given by the differential equation $\dot{x}$=$2 x\left(-t e^{-t^{2}}\right)$ . At time t=0, x=2 .
1. Use Euler's method with step length 0.1 to find an approximation for x when t=0.4 , giving your answer to 4 significant figures.
x(0.4) ≈    (three decimal places)
2. By solving the differential equation, find the percentage error in your approximation for x when t=0.4 .
ϵ≈  %(two decimal places)




参考答案:
空格1: 1.782!bum!0.1%空格2: 3.30


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