(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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,