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' = e−y, y(0) = 0; y(0.4)
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' = e−y, y(0) = 0; y(0.4)
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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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' = e−y, y(0) = 0; y(0.4)
Transcribed Image Text:y' = e-, y(0) = 0; y(0.4)
y(0.4)~|
y(0.4)~
h = 0.1
h = 0.05
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Step 1: Define Improved Euler's Method
VIEWStep 2: Use step size h=0.1 , find 1st and 2nd approximation
VIEWStep 3: Find 3rd and 4th approximation
VIEWStep 4: Use step size h=0.05 and find 1st,2nd,3rd approximation
VIEWStep 5: Find 4th,5th,6th approximation
VIEWStep 6: Find 7th,8th approximation
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using h as 0.05 it says 0.3487 is incorrect, help
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