. Consider the initial-value problem y'= 0.1!y+0.4x², y(2) =4. Use Euler's method to obtain the approximation of y(2.5) using h=0.1 and then h=0.05.

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. Consider the initial-value problem y'=0.1!y+0.4x', y(2)= 4. Use Euler's method to obtain the approximation
of (2.5) using h=0.1 and then h=0.05.
h=0.1
5.0768
A.
С.
h=0.05
h=0.1
h=0.05
5.0997
4.09000
4.18416
h=0.1
h=0.05
D.
h=0.1
h=0.05
4.8244
4.9686
Vn
4.5914
4.4927
B.
Transcribed Image Text:_2. Consider the initial-value problem y'=0.1!y+0.4x', y(2)= 4. Use Euler's method to obtain the approximation of (2.5) using h=0.1 and then h=0.05. h=0.1 5.0768 A. С. h=0.05 h=0.1 h=0.05 5.0997 4.09000 4.18416 h=0.1 h=0.05 D. h=0.1 h=0.05 4.8244 4.9686 Vn 4.5914 4.4927 B.
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