Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First use h 0.1 and then use h 0.05. y' = (x − y)², y(0) = 0.6; y(0.5) h = 0.1 h = 0.05 - y(0.5) ≈ y(0.5)≈

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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 58CR
Question

Najabhai 

Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First use h 0.1 and then use h 0.05.
y' = (x − y)², y(0) = 0.6; y(0.5)
h = 0.1
h = 0.05
-
y(0.5) ≈
y(0.5)≈
Transcribed Image Text:Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First use h 0.1 and then use h 0.05. y' = (x − y)², y(0) = 0.6; y(0.5) h = 0.1 h = 0.05 - y(0.5) ≈ y(0.5)≈
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,