K Apply Euler's method twice to approximate the solution to the initial value problem on the interval the three-decimal place values of the two approximations at x = with the value of y (1) of y=-3x²y. y(0)-4. y(x) = 4x² The Euler approximation when h-025 of y (0) (Type an integer or decimal rounded to three decimal places as needed) is 3813 [1] (s) first with step size h 0.25 then with step size h 0.1. Compare of the actual solution

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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K
Apply Euler's method twice to approximate the solution to the initial value problem on the interval
[1]
the three-decimal place values of the two approximations at x = with the value of y
of the actual solution
y=-3x²y. y(0)-4. y(x) = 4x²
The Euler approximation when h-025 of y is 3813
(0)
(Type an integer or decimal rounded to three decimal places as needed)
(TTS)
first with step size h 0.25 then with step size h 0.1. Compare
Transcribed Image Text:K Apply Euler's method twice to approximate the solution to the initial value problem on the interval [1] the three-decimal place values of the two approximations at x = with the value of y of the actual solution y=-3x²y. y(0)-4. y(x) = 4x² The Euler approximation when h-025 of y is 3813 (0) (Type an integer or decimal rounded to three decimal places as needed) (TTS) first with step size h 0.25 then with step size h 0.1. Compare
The Euler approximation when h = 0.1 of y() is [
(Type an integer or decimal rounded to three decimal places as needed.)
The value of y
using the actual solution is
(Type an integer or decimal rounded to three decimal places as needed.)
The approximation
using the
value of h, is closer to the value of y
(Type an integer or decimal rounded to three decimal places as needed.)
found using the actual solution.
Transcribed Image Text:The Euler approximation when h = 0.1 of y() is [ (Type an integer or decimal rounded to three decimal places as needed.) The value of y using the actual solution is (Type an integer or decimal rounded to three decimal places as needed.) The approximation using the value of h, is closer to the value of y (Type an integer or decimal rounded to three decimal places as needed.) found using the actual solution.
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