Apply the Runge-Kutta method to approximate this solution on the interval [0, 0.5] with step size h=0.25. Show five-decimal-place values of the approximate solution and actual solution at the points x=0.25 and 0.5. y'=-3x2y, y(0)=6; y(x)=6e-x^3
Apply the Runge-Kutta method to approximate this solution on the interval [0, 0.5] with step size h=0.25. Show five-decimal-place values of the approximate solution and actual solution at the points x=0.25 and 0.5. y'=-3x2y, y(0)=6; y(x)=6e-x^3
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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Apply the Runge-Kutta method to approximate this solution on the interval [0, 0.5] with step size h=0.25. Show five-decimal-place values of the approximate solution and actual solution at the points x=0.25 and 0.5.
y'=-3x2y, y(0)=6; y(x)=6e-x^3
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