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Need help with #19 please

Need help with #19 please

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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Need help with #19 please

File /home/chronos/u-42c7373e4357ee526bed2268ecc2b0b8f4aed3ab/My 3.5 Problems In Problems 1 through 20, find a particular solution yp of the given equation. In all these problems, primes denote deriva- tives with respect to x. 1. y" + 16y = e3x 3. y"- y' - 6y = 2 sin 3.x 5. y" + y' + y = sin? x 7. y" – 4y = sinh x 9. y" + 2y'- 3y = 1+ xe* 2. y" – y' – 2y = 3x + 4 4. 4y" + 4y' + y = 3xe* 6. 2y" + 4y' + 7y = x2 8. y"-4y= cosh 2x %3D %3D 10. y"+9y = 2 cos 3x + 3 sin 3x 11. y(3) + 4y' = 3x – 1 13. y" + 2y' + 5y = e* sin x 15. y(5) + 5y(4) - y = 17 12., y(3) + y' = 2 – sin x I. 14. y(4) – 2y" + y = xe* 16. y" +9y = 2x²e3x +5 %3D 17. y"+ y = sin x + x cos x 18. y(4) - 5y" + 4y = e* – xe2x // (s)A 19. y(5) + 2y(3) + 2y" = 3x² – 1 20. y(3) – y = e* +7 ( - In Problems 21 through 30, set up the appropriate form of a particular solution yp, but do not determine the values of the coefficients. 21. y" - 2y' + 2y = e* sin x 22. y(5) y(3) = e* + 2x² – 5 23. y"+4y = 3x cos 2x (3) // 24. y - y" – 12y' = x-2xe-3x 25. y" + 3y' + 2y = x(e-* -e-2x) (x)
Transcribed Image Text:File /home/chronos/u-42c7373e4357ee526bed2268ecc2b0b8f4aed3ab/My 3.5 Problems In Problems 1 through 20, find a particular solution yp of the given equation. In all these problems, primes denote deriva- tives with respect to x. 1. y" + 16y = e3x 3. y"- y' - 6y = 2 sin 3.x 5. y" + y' + y = sin? x 7. y" – 4y = sinh x 9. y" + 2y'- 3y = 1+ xe* 2. y" – y' – 2y = 3x + 4 4. 4y" + 4y' + y = 3xe* 6. 2y" + 4y' + 7y = x2 8. y"-4y= cosh 2x %3D %3D 10. y"+9y = 2 cos 3x + 3 sin 3x 11. y(3) + 4y' = 3x – 1 13. y" + 2y' + 5y = e* sin x 15. y(5) + 5y(4) - y = 17 12., y(3) + y' = 2 – sin x I. 14. y(4) – 2y" + y = xe* 16. y" +9y = 2x²e3x +5 %3D 17. y"+ y = sin x + x cos x 18. y(4) - 5y" + 4y = e* – xe2x // (s)A 19. y(5) + 2y(3) + 2y" = 3x² – 1 20. y(3) – y = e* +7 ( - In Problems 21 through 30, set up the appropriate form of a particular solution yp, but do not determine the values of the coefficients. 21. y" - 2y' + 2y = e* sin x 22. y(5) y(3) = e* + 2x² – 5 23. y"+4y = 3x cos 2x (3) // 24. y - y" – 12y' = x-2xe-3x 25. y" + 3y' + 2y = x(e-* -e-2x) (x)
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