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'= -9x²y, y(0) = 5; y(x) = 5e -3x³
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'= -9x²y, y(0) = 5; y(x) = 5e -3x³
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 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' = -9x²y, y(0) = 5; y(x) = 5e¯ 3x³
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%2F51b939c1-6da3-4923-8e67-80e523e18a0f%2F1541b404-e62b-4884-a1d2-42c90a2f2acd%2Fys3en7s_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' = -9x²y, y(0) = 5; y(x) = 5e¯ 3x³
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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