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. y' = - 4x³y, y(0) = 2; y(x) = 2e¯xª X 0 0.25 0.5 y with h = 0.25 2.00000 Actual y 2.00000 (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. y' = - 4x³y, y(0) = 2; y(x) = 2e¯xª X 0 0.25 0.5 y with h = 0.25 2.00000 Actual y 2.00000 (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.
y' = - 4x³y, y(0) = 2; y(x) = 2e¯xª
X
0
0.25
0.5
y with h = 0.25
2.00000
Actual y
2.00000
(Round to five decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3200e892-7b83-4670-8aa5-c4c84f2a6adb%2F16a444c5-b2e8-42dc-ae2d-fd0fec6ad92d%2Fg7ql2oe_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.
y' = - 4x³y, y(0) = 2; y(x) = 2e¯xª
X
0
0.25
0.5
y with h = 0.25
2.00000
Actual y
2.00000
(Round to five decimal places as needed.)
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