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(2) Consider the following system of differential equation, with time domain t e (0, 1): a' = -2x + 4e-t, %3D y = -ay?/3, x(0) = 2, y(0) = 4. Solve it with Runge-Kutta-Falhberg method of order 4, step size h = 0.25, and error threshold E = 0.5.

(2) Consider the following system of differential equation, with time domain t e (0, 1): a' = -2x + 4e-t, %3D y = -ay?/3, x(0) = 2, y(0) = 4. Solve it with Runge-Kutta-Falhberg method of order 4, step size h = 0.25, and error threshold E = 0.5.

Advanced Engineering Mathematics
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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(2) Consider the following system of differential equation, with time domain te (0,1): x' = -2x +4e-t, y' = -ay?/3, x(0) = 2, y(0) = 4. Solve it with Runge-Kutta-Falhberg method of order 4, step size h = 0.25, and error threshold 8 = 0.5. %3D
Transcribed Image Text:(2) Consider the following system of differential equation, with time domain te (0,1): x' = -2x +4e-t, y' = -ay?/3, x(0) = 2, y(0) = 4. Solve it with Runge-Kutta-Falhberg method of order 4, step size h = 0.25, and error threshold 8 = 0.5. %3D
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