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)
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)
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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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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ae1bb18-ef65-433d-a0dc-aafdea4542d4%2Fd32e4825-37c6-49a1-aa4a-a6b27a6d7e9f%2Ftgbn5g4_processed.png&w=3840&q=75)
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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