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(2) ( Consider the following system of differential equation, with time domain t e (0,1): x' = -2x + 4et, y = ==y? /3, x(0) = 2, ((0)%3D 4. (a) and global truncation errors. Euler's method, with step size h = 0.25. Find also the upper bounds for the local (b) Runge-Kutta of order 4, and step size h = 0.25.

(2) ( Consider the following system of differential equation, with time domain t e (0,1): x' = -2x + 4et, y = ==y? /3, x(0) = 2, ((0)%3D 4. (a) and global truncation errors. Euler's method, with step size h = 0.25. Find also the upper bounds for the local (b) Runge-Kutta of order 4, and step size h = 0.25.

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) E) Consider the following system of differential equation, with time domain t e (0,1): x' = -2x + 4e-t, y' = =xy? /3, ¤(0) = 2, %3| y(0) = 4. %3D (a) ) Euler's method, with step size h = 0.25. Find also the upper bounds for the local and global truncation errors. %3D (Ъ) ( (2). Runge-Kutta of order 4, and step size h = 0.25. %3D ) The
Transcribed Image Text:(2) E) Consider the following system of differential equation, with time domain t e (0,1): x' = -2x + 4e-t, y' = =xy? /3, ¤(0) = 2, %3| y(0) = 4. %3D (a) ) Euler's method, with step size h = 0.25. Find also the upper bounds for the local and global truncation errors. %3D (Ъ) ( (2). Runge-Kutta of order 4, and step size h = 0.25. %3D ) The
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