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. - 5 y' = − 6x³y, y(0) = 6; y(x) = 6e¯ X y with h = 0.25 Actual y 0 6.00000 6.00000 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. - 5 y' = − 6x³y, y(0) = 6; y(x) = 6e¯ X y with h = 0.25 Actual y 0 6.00000 6.00000 0.25 0.5 (Round to five decimal places as needed.)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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