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23. y' + 4y = 4x sin 2x. Hint. See 2

23. y' + 4y = 4x sin 2x. Hint. See 2

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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Please solve DE #23 by the inverse operator method 

X Differentials Final Review ★ 10. y y 9 11. y" + 3y + 2y = 12. y" + 3y' + 2y = 3e-2z. 13. y"+y X - || T 25. y" - y 26. y"+y' 27. y"" 28. y(4) 29. y" 30. y" - 2y + y = 7e*. 31. yy' = sin x. 32. y""+y' differential Equations 12e. ei. - 21. y" 2y'- 8y = 9xe*. 22. y = + 3y" + 3y' + y = e(2: 23. y" + 4y 4x sin 2x. Hint. See 2 24. y" + 4y 4x cos 2x. Hint. For 23 and 24, solve y" + 4 +y' = cos x. 9 wavelength (wavelength 2e*. 2y = 3e-2. 5y" + 8y' 4y 3y - 6y"+28y' 11y" + 39y' - 45y ex. = 24y e³x. Hint. See 32. - - Hint. For 31 and 32, solve y"" + 33. y"" 3y" + 3y' - y = 2e². 34. y + 3y + 2y = 8 + 6e + 2 sir 35. y" + 3y + 2y = 2(e-2x + x²). 36. y(5) + 2y"" + y' = 2x+sin x +
Transcribed Image Text:X Differentials Final Review ★ 10. y y 9 11. y" + 3y + 2y = 12. y" + 3y' + 2y = 3e-2z. 13. y"+y X - || T 25. y" - y 26. y"+y' 27. y"" 28. y(4) 29. y" 30. y" - 2y + y = 7e*. 31. yy' = sin x. 32. y""+y' differential Equations 12e. ei. - 21. y" 2y'- 8y = 9xe*. 22. y = + 3y" + 3y' + y = e(2: 23. y" + 4y 4x sin 2x. Hint. See 2 24. y" + 4y 4x cos 2x. Hint. For 23 and 24, solve y" + 4 +y' = cos x. 9 wavelength (wavelength 2e*. 2y = 3e-2. 5y" + 8y' 4y 3y - 6y"+28y' 11y" + 39y' - 45y ex. = 24y e³x. Hint. See 32. - - Hint. For 31 and 32, solve y"" + 33. y"" 3y" + 3y' - y = 2e². 34. y + 3y + 2y = 8 + 6e + 2 sir 35. y" + 3y + 2y = 2(e-2x + x²). 36. y(5) + 2y"" + y' = 2x+sin x +
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