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Solve the boundary-value problem y" + x²y' - 4xy = 2x³ +6x²-2, y(0) = 0, y(1) = 2 by using the shooting method. Use the modified Euler method (with only one correction at each step), and take h = 0.2. Start with an initial slope of y'(0) = 1.9 as a first attempt and y'(0) = 2.1 as a second attempt. Then interpolate. Compare the result with the analytical solution y = x - x² + 2x. 1

Solve the boundary-value problem y" + x²y' - 4xy = 2x³ +6x²-2, y(0) = 0, y(1) = 2 by using the shooting method. Use the modified Euler method (with only one correction at each step), and take h = 0.2. Start with an initial slope of y'(0) = 1.9 as a first attempt and y'(0) = 2.1 as a second attempt. Then interpolate. Compare the result with the analytical solution y = x - x² + 2x. 1

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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■ W ..... 04:03 PM 2022-05-26 File Paste 1.1.13.1.12.1.11.1.10.1,9,1,8,1,7,1,6,115,1,4,1,3,1,2,1,1,1,,1,1,1.2 日 L Home Document1 - Microsoft Word (Product Activation Failed) Insert Page Layout References Review View Calibri (Body) T 14 T Α Α΄ B-B-S ## T AaBbCcDc AaBbCcDc AaBbC AaBbCc AaBl AaBbCcl BIU abe X, X² A ab T 트플 1 Normal No Spaci... Heading 1 Title Subtitle Heading 2 Styles Font Paragraph G ··2·1·1·1···1·1·2·1·3·1·4·1·5· 1 · 6 · 1 · 7 · 1 · 8 · 1 · 9 · 1 · 10 · |··11· |·12·|·13°||·14° | ・15° |-·\\ · |·17· |-· 18 · | I I I I I NUMERICAL METHODS PLEASE ANSWER ALL QUESTIONS Solve the boundary-value problem y" + x²y' - 4xy = 2x³ + 6x²-2, y(0) = 0, y(1) = 2 by using the shooting method. Use the modified Euler method (with only one correction at each step), and take h = 0.2. Start with an initial slope of y'(0) = 1.9 as a first attempt and y'(0) = 2.1 as a second attempt. Then interpolate. Compare the result with the analytical solution y=x²-x² + 2x. | Cut Copy Format Painter Clipboard Page: 1 of 1 Words: 6 I U abe X₂ X² Mailings Aal Aa יד A Find Час Replace Change Styles Select G Editing Ef R 90% Ⓒ @? E ▶HOA
Transcribed Image Text:■ W ..... 04:03 PM 2022-05-26 File Paste 1.1.13.1.12.1.11.1.10.1,9,1,8,1,7,1,6,115,1,4,1,3,1,2,1,1,1,,1,1,1.2 日 L Home Document1 - Microsoft Word (Product Activation Failed) Insert Page Layout References Review View Calibri (Body) T 14 T Α Α΄ B-B-S ## T AaBbCcDc AaBbCcDc AaBbC AaBbCc AaBl AaBbCcl BIU abe X, X² A ab T 트플 1 Normal No Spaci... Heading 1 Title Subtitle Heading 2 Styles Font Paragraph G ··2·1·1·1···1·1·2·1·3·1·4·1·5· 1 · 6 · 1 · 7 · 1 · 8 · 1 · 9 · 1 · 10 · |··11· |·12·|·13°||·14° | ・15° |-·\\ · |·17· |-· 18 · | I I I I I NUMERICAL METHODS PLEASE ANSWER ALL QUESTIONS Solve the boundary-value problem y" + x²y' - 4xy = 2x³ + 6x²-2, y(0) = 0, y(1) = 2 by using the shooting method. Use the modified Euler method (with only one correction at each step), and take h = 0.2. Start with an initial slope of y'(0) = 1.9 as a first attempt and y'(0) = 2.1 as a second attempt. Then interpolate. Compare the result with the analytical solution y=x²-x² + 2x. | Cut Copy Format Painter Clipboard Page: 1 of 1 Words: 6 I U abe X₂ X² Mailings Aal Aa יד A Find Час Replace Change Styles Select G Editing Ef R 90% Ⓒ @? E ▶HOA
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