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Apply Euler's method twice to approximate the solution to the initial value problem on the interval [0, 1] size h = 0.25, then with step size h = 0.1. Compare the three-decimal-place values of the two approximations at x = (1) y'= -y, y(0) = 12, y(x) = 12ex with the value of y of the actual solution. **** first with step The Euler approximation when h= 0.25 of y (Type an integer or decimal rounded to three decimal places as needed.)

Apply Euler's method twice to approximate the solution to the initial value problem on the interval [0, 1] size h = 0.25, then with step size h = 0.1. Compare the three-decimal-place values of the two approximations at x = (1) y'= -y, y(0) = 12, y(x) = 12ex with the value of y of the actual solution. **** first with step The Euler approximation when h= 0.25 of y (Type an integer or decimal rounded to three decimal places as needed.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Apply Euler's method twice to approximate the solution to the initial value problem on the interval [0,1]. first with step 1 size h = 0.25, then with step size h=0.1. Compare the three-decimal-place values of the two approximations at x = thể y' = -y, y(0) = 12, y(x) = 12ex with the value of y of the actual solution. The Euler approximation when h= 0.25 of y is (Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:Apply Euler's method twice to approximate the solution to the initial value problem on the interval [0,1]. first with step 1 size h = 0.25, then with step size h=0.1. Compare the three-decimal-place values of the two approximations at x = thể y' = -y, y(0) = 12, y(x) = 12ex with the value of y of the actual solution. The Euler approximation when h= 0.25 of y is (Type an integer or decimal rounded to three decimal places as needed.)
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