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Determine whether the following systems of differential equations are de- generate. In the degenerate case, decide whether the system has no solution or infinitely many. Find the general form of the solutions if they exists by solving y(t) in terms of r(t) where r(t) is any arbitrary function of t. (a) 2# – i + j – 2ý = e' 24 – r + ý – 2y = 2e*. (b) (D +1)[x] + D[y] = t (D² + D){x] + D®[»] = 1.

Determine whether the following systems of differential equations are de- generate. In the degenerate case, decide whether the system has no solution or infinitely many. Find the general form of the solutions if they exists by solving y(t) in terms of r(t) where r(t) is any arbitrary function of t. (a) 2# – i + j – 2ý = e' 24 – r + ý – 2y = 2e*. (b) (D +1)[x] + D[y] = t (D² + D){x] + D®[»] = 1.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 78E
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W Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? % Cut A Find - Calibri (Body) - 14 - A A Aa Aal AaBbCcDc AaBbCcD AaBbC AaBbCc AaBI AqBbCcl E Copy ag Replace BI U ab A I Normal Paste abe x, x A I No Spaci.. Heading 1 Heading 2 Title Subtitle Change W Format Painter Styles - Select - Clipboard Font Paragraph Styles Editing 2:1·1•I 11• 2:1:3:1·4: 15.1 6:1 7:18•1 9.1 10. 11· I·12: 1 •13. 1 14: I 15. 1 : 17: 1 18. ORDINARY DIFFERENTIAL EQUATIONS PLEASE ANSWER ALL QUESTIONS 1.. Determine whether the following systems of differential equations are de- generate. In the degenerate case, decide whether the system has or infinitely many. Find the general form of the solutions if they exists by solving y(t) in terms of x(t) where r(t) is any arbitrary function of t. solution (a) 2# – å + ÿ – 2j = e' 24 – x + ỷ – 2y = 2e". (b) (D+1)[x] + D[y) = t (D² + D)[x] + D²[1] = 1. 07:04 PM 2022-05-18 Page: 1 of 1 Words: 8 昆 昌 90% +
Transcribed Image Text:W Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? % Cut A Find - Calibri (Body) - 14 - A A Aa Aal AaBbCcDc AaBbCcD AaBbC AaBbCc AaBI AqBbCcl E Copy ag Replace BI U ab A I Normal Paste abe x, x A I No Spaci.. Heading 1 Heading 2 Title Subtitle Change W Format Painter Styles - Select - Clipboard Font Paragraph Styles Editing 2:1·1•I 11• 2:1:3:1·4: 15.1 6:1 7:18•1 9.1 10. 11· I·12: 1 •13. 1 14: I 15. 1 : 17: 1 18. ORDINARY DIFFERENTIAL EQUATIONS PLEASE ANSWER ALL QUESTIONS 1.. Determine whether the following systems of differential equations are de- generate. In the degenerate case, decide whether the system has or infinitely many. Find the general form of the solutions if they exists by solving y(t) in terms of x(t) where r(t) is any arbitrary function of t. solution (a) 2# – å + ÿ – 2j = e' 24 – x + ỷ – 2y = 2e". (b) (D+1)[x] + D[y) = t (D² + D)[x] + D²[1] = 1. 07:04 PM 2022-05-18 Page: 1 of 1 Words: 8 昆 昌 90% +
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