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NUMERICAL METHODS QUESTION Consider the differential equation y'(x) = -3x®y?, y(0) – 2, which has the analytical solution Apply the modified Euler method to solve the equation up to x = 1 first with steplength h = 0.2 and then with h= 0.1. At each step make 2 corrections. Also calculate the error at each step. In your solution include: 1) description of the algorithms used (i) program listing (printout) (iii) computer results (printout) (iv) discussion of the results

NUMERICAL METHODS QUESTION Consider the differential equation y'(x) = -3x®y?, y(0) – 2, which has the analytical solution Apply the modified Euler method to solve the equation up to x = 1 first with steplength h = 0.2 and then with h= 0.1. At each step make 2 corrections. Also calculate the error at each step. In your solution include: 1) description of the algorithms used (i) program listing (printout) (iii) computer results (printout) (iv) discussion of the results

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 2CYU
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Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? W A A Find - % Cut - =,年章 ↓ T Calibri (Body) - 11 A A Aa Aal AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL E Copy a Replace Paste I U - abe x, x ab A I Normal I No Spaci. Heading 1 Heading 2 Change Title Subtitle Format Painter Styles - Select - Clipboard Font Paragraph Styles Editing 2:1:1•1 1:1• 2:13:1·4: 1:5. 1 6:1: 7:1:8•L9:1 10. L '11: 1·12: 1 ·13: 1 14: 1 15. 1 : 17: 1 18. | 3:1' 4: ·5.1 6.1:7 l:8: 1'9 ' 10: 1 '11: 1'12 :L·13:1' 14:' 15. LA:L 17:L · 18. L NUMERICAL METHODS QUESTION Consider the differential equation У(x) - - 3x'у?, у (0) - 2, which has the analytical solution y = 2x³ + 1 Apply the modified Euler method to solve the equation up to x = 1 first with steplength h = 0.2 and then with h = 0.1. At each step make 2 corrections. Also calculate the error at each step. In your solution include: (i) description of the algorithms used (ii) program listing (printout) (iii) computer results (printout) (iv) discussion of the results 05:14 PM 2022-04-19 Page: 1 of 1 B I E E E 90% e Words: 3 + 14: 1 ·13• 1 ·12· I •11· 1 ·10 · 1 •9 · 1 •8· I •7•I•6•I•5 · I •4•I•3•I•2·1•1•I• •L•1•1:2 ]|
Transcribed Image Text:Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? W A A Find - % Cut - =,年章 ↓ T Calibri (Body) - 11 A A Aa Aal AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL E Copy a Replace Paste I U - abe x, x ab A I Normal I No Spaci. Heading 1 Heading 2 Change Title Subtitle Format Painter Styles - Select - Clipboard Font Paragraph Styles Editing 2:1:1•1 1:1• 2:13:1·4: 1:5. 1 6:1: 7:1:8•L9:1 10. L '11: 1·12: 1 ·13: 1 14: 1 15. 1 : 17: 1 18. | 3:1' 4: ·5.1 6.1:7 l:8: 1'9 ' 10: 1 '11: 1'12 :L·13:1' 14:' 15. LA:L 17:L · 18. L NUMERICAL METHODS QUESTION Consider the differential equation У(x) - - 3x'у?, у (0) - 2, which has the analytical solution y = 2x³ + 1 Apply the modified Euler method to solve the equation up to x = 1 first with steplength h = 0.2 and then with h = 0.1. At each step make 2 corrections. Also calculate the error at each step. In your solution include: (i) description of the algorithms used (ii) program listing (printout) (iii) computer results (printout) (iv) discussion of the results 05:14 PM 2022-04-19 Page: 1 of 1 B I E E E 90% e Words: 3 + 14: 1 ·13• 1 ·12· I •11· 1 ·10 · 1 •9 · 1 •8· I •7•I•6•I•5 · I •4•I•3•I•2·1•1•I• •L•1•1:2 ]|
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