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' =y-6x-6, y(0) = 11; y(x) = 12 + 6x - ex X 0 0.25 0.5 y with h = 0.25 11.00000 ... Actual y 11.00000 (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. 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' =y-6x-6, y(0) = 11; y(x) = 12 + 6x - ex X 0 0.25 0.5 y with h = 0.25 11.00000 ... Actual y 11.00000 (Round to five decimal places as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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