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' = − 6x²y, y(0) = 4; y(x) = 4e¯ - -2x3 ... Complete the table below. (Round to four decimal places as needed.) Xn Actual, y (xn) 0.1 0.2 0.3 0.4 0.5
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' = − 6x²y, y(0) = 4; y(x) = 4e¯ - -2x3 ... Complete the table below. (Round to four decimal places as needed.) Xn Actual, y (xn) 0.1 0.2 0.3 0.4 0.5
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 85CR
Question
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' = − 6x²y, y(0) = 4; y(x) = 4e¯
-
-2x3
...
Complete the table below.
(Round to four decimal places as needed.)
Xn
Actual, y (xn)
0.1
0.2
0.3
0.4
0.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ae1bb18-ef65-433d-a0dc-aafdea4542d4%2Faf7798ae-a6c3-4f0f-a91a-a4b7686e29c3%2Fozngcmi_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' = − 6x²y, y(0) = 4; y(x) = 4e¯
-
-2x3
...
Complete the table below.
(Round to four decimal places as needed.)
Xn
Actual, y (xn)
0.1
0.2
0.3
0.4
0.5
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