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
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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafa40b4c-6446-4954-81d5-dba11661f543%2F1e097e01-ee02-4d7e-9554-09c20e8e94ee%2F78d3qfk_processed.jpeg&w=3840&q=75)
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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