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-value problem y" + x²y' - 4xy = 2x³ +6x²-2, y(0) = 0, y(1) = ng method. Use the modified Euler method (with only one c Start with an initial slope of y'(0) = 1.9 as a first attempt en interpolate.

-value problem y" + x²y' - 4xy = 2x³ +6x²-2, y(0) = 0, y(1) = ng method. Use the modified Euler method (with only one c Start with an initial slope of y'(0) = 1.9 as a first attempt en interpolate.

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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S d W 0 W File Paste |||||ZT|»F«T««Z«« Ɛ + 1 + Þ• 1 • §• 1 • 9• 1 • 2 • 1 + 8 + 1 + 6 • 1 • OT • • •TT • • • ZT + 1 + £T + 1 + #T\ Home Cut Copy Format Painter Clipboard 10:56 AM 2022-06-16 Page: 1 of 1 Insert Words: 2 Document1 - Microsoft Word (Product Activation Failed) Page Layout References Review View T 14 T Α Α΄ B-B-S ## T AaBbCcDc AaBbCcDc AaBbC AaBbCc AaBl AaBbCcl I U abe X₂ X² ab A 트플 1 Normal No Spaci... Heading 1 Heading 2 Title Subtitle Font Paragraph G Styles ··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 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. Calibri (Body) BIU T Mailings Aal Aa יד Find A Час Replace Change Styles Select G Editing NRE= 90% 90% @? E 0+
Transcribed Image Text:S d W 0 W File Paste |||||ZT|»F«T««Z«« Ɛ + 1 + Þ• 1 • §• 1 • 9• 1 • 2 • 1 + 8 + 1 + 6 • 1 • OT • • •TT • • • ZT + 1 + £T + 1 + #T\ Home Cut Copy Format Painter Clipboard 10:56 AM 2022-06-16 Page: 1 of 1 Insert Words: 2 Document1 - Microsoft Word (Product Activation Failed) Page Layout References Review View T 14 T Α Α΄ B-B-S ## T AaBbCcDc AaBbCcDc AaBbC AaBbCc AaBl AaBbCcl I U abe X₂ X² ab A 트플 1 Normal No Spaci... Heading 1 Heading 2 Title Subtitle Font Paragraph G Styles ··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 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. Calibri (Body) BIU T Mailings Aal Aa יד Find A Час Replace Change Styles Select G Editing NRE= 90% 90% @? E 0+
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