IB MAI HL Calculus Topic 5.4 Differential Equations (id: 4162e4a35)

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]
Consider the differential ar* h 2d2 )(.k4ld8rdyhs jskdequationq ca-k w6j 1vfn+xz1:u

$\frac{\mathrm{d} y}{\mathrm{~d} x}$=$\sqrt{x} y, \quad x>0$, y>0 $\text { where }$ y(1)=4 .

1. Use Euler's method with a step length of 0.25 to fill in the following table, rounding each value to two decimal places.

When x is 1.25 , y is   ;When x is 1.50 , y is   ;When x is 1.75 , y is   ;When x is 2 , y is   ;
2. Solve the differential equation.
3. Hence, find the exact value of y(2) to 2 decimal places.
4. Calculate the percentage error in the value of y(2) found by using Euler's method. Give your answer to 2 significant figures.
ϵ≈  %

参考答案:
空格1: 5.00±1%  空格2: 6.40±1%  空格3: 8.36±1%  空格4: 11.12±1%  空格5: 18 


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