A hand-held calculator will suffice for this problem, where an initial value problem and its exact solution are given. Apply the Runge-Kutta method to approximate this solution on the interval [0, 0.5] with step size h = 0.25. Construct a table showing five-decimal-place values of the approximate solution and actual solution at the points x = 0.25 and 0.5. y' = = 9x³°³y, y(0) = 4; y(x) = 4e¯ - X y with h = 0.25 Actual y 4.00000 4.00000 0 0.25 0.5 ☐ ☐ (Round to five decimal places as needed.)
A hand-held calculator will suffice for this problem, where an initial value problem and its exact solution are given. Apply the Runge-Kutta method to approximate this solution on the interval [0, 0.5] with step size h = 0.25. Construct a table showing five-decimal-place values of the approximate solution and actual solution at the points x = 0.25 and 0.5. y' = = 9x³°³y, y(0) = 4; y(x) = 4e¯ - X y with h = 0.25 Actual y 4.00000 4.00000 0 0.25 0.5 ☐ ☐ (Round to five 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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![A hand-held calculator will suffice for this problem, where an initial value problem and its exact solution are given. Apply
the Runge-Kutta method to approximate this solution on the interval [0, 0.5] with step size h = 0.25. Construct a table
showing five-decimal-place values of the approximate solution and actual solution at the points x = 0.25 and 0.5.
y' = = 9x³°³y, y(0) = 4; y(x) = 4e¯
-
X
y with h = 0.25
Actual y
4.00000
4.00000
0
0.25
0.5
☐ ☐
(Round to five decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ae1bb18-ef65-433d-a0dc-aafdea4542d4%2F0f8b8084-2160-4f11-97c6-08e69d25f081%2Fwrc7827_processed.png&w=3840&q=75)
Transcribed Image Text:A hand-held calculator will suffice for this problem, where an initial value problem and its exact solution are given. Apply
the Runge-Kutta method to approximate this solution on the interval [0, 0.5] with step size h = 0.25. Construct a table
showing five-decimal-place values of the approximate solution and actual solution at the points x = 0.25 and 0.5.
y' = = 9x³°³y, y(0) = 4; y(x) = 4e¯
-
X
y with h = 0.25
Actual y
4.00000
4.00000
0
0.25
0.5
☐ ☐
(Round to five decimal places as needed.)
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