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' = -5x4y, y(0) = 4; y(x) = 4e x5 X 0 0.25 0.5 y with h = 0.25 4.00000 Actual y 4.00000 (Round to five decimal places as needed.) www

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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' = - 5x^y, y(0) = 4; y(x) = 4e¯
x5
X
0
0.25
0.5
y with h = 0.25
4.00000
Actual y
4.00000
(Round to five decimal places as needed.)
www
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' = - 5x^y, y(0) = 4; y(x) = 4e¯ x5 X 0 0.25 0.5 y with h = 0.25 4.00000 Actual y 4.00000 (Round to five decimal places as needed.) www
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