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IB MAI HL Calculus Topic 5.4 Differential Equations (id: e4a64360f)

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admin 发表于 2024-3-22 17:42:42 | 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]
The diagram below shows the slopy*v k q*cr6 ,tdo:irmf1)+v ras(xb(zgh)on; w8plqvp xr9;4 e field for the differential equation

$\frac{\mathrm{d} y}{\mathrm{~d} x}$=$\cos (x-y$), $\quad-6.5 \leq x \leq 4.5$, $\quad 0 \leq y \leq 5.5$ .


The graphs of the two solutions to the differential equation passing through points P (0,1) and Q(0,3) are drawn over the slope field.

For the two graphs given, the local maximum points lie on the straight line $L_{1} $.
1. Find the equation of $L_{1}$ , giving your answer in the form y=m x+c .
we get y = kx+c$\pi$;k=  ,c=  
For the two graphs given, the local minimum points lie on the straight line $L_{2} $.
2. Find the equation of $L_{2} $, giving your answer in the form y=m x+c .
we get y = kx+c$\pi$;k=  ,c=  




参考答案:
空格1: 1空格2: 1.5空格3: 1空格4: 0.5


本题详细解析:

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