Apply the improved Euler method to approximate the solution on the interval [0, 0.5] with step size h = 0.1. Construct a table showing values of the approximate solution and the actual solution at the points x = 0.1, 0.2, 0.3, 0.4, 0.5. y' = 2y, y(0) = 5; y(x) = 5e¯ -2x ... Complete the table below. (Round to four decimal places as needed.) Xn 0.1 0.2 0.3 0.4 0.5 Actual, y (xn)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Find Actual, y(xn) and Improved Euler, yn Thank you! 

Apply the improved Euler method to approximate the solution on the interval [0, 0.5]
with step size h = 0.1. Construct a table showing values of the approximate solution
and the actual solution at the points x = 0.1, 0.2, 0.3, 0.4, 0.5.
y' = 2y, y(0) = 5; y(x) = 5e¯
-2x
...
Complete the table below.
(Round to four decimal places as needed.)
Xn
0.1
0.2
0.3
0.4
0.5
Actual, y (xn)
Transcribed Image Text:Apply the improved Euler method to approximate the solution on the interval [0, 0.5] with step size h = 0.1. Construct a table showing values of the approximate solution and the actual solution at the points x = 0.1, 0.2, 0.3, 0.4, 0.5. y' = 2y, y(0) = 5; y(x) = 5e¯ -2x ... Complete the table below. (Round to four decimal places as needed.) Xn 0.1 0.2 0.3 0.4 0.5 Actual, y (xn)
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