5.5 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 y' - 5. y" + y' + y = sin² x 7. y” – 4y = sinh x x 6y= 2 sin 3x 2. y" — y' - 2y = 3x + 4 4. 4y" + 4y' + y = 3xex 6. 2y" +4y' + 7y=x² 8. y" - 4y = cosh 2x 9. y" + 2y' - 3y = 1 + xe* 10. y" +9y = 2 cos 3x + 3 sin 3x 11. y(³) + 4y' = 3x − 1 - - 12. y(³) + y' = 2 — sin x 14. y(4) — 2y" + y = xe* 16. y" +9y = 2x²e³x + 5 13. y" + 2y' + 5y = e* sin x 15. y(5) + 5y (4) − y = 17 17. y" + y = sin x + x cos x 18. y(4) — 5y" + 4y = et — xe2x 19. y(5) + 2y(³) + 2y″ = 3x² − 1 20. y(³) — y = e* +7
5.5 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 y' - 5. y" + y' + y = sin² x 7. y” – 4y = sinh x x 6y= 2 sin 3x 2. y" — y' - 2y = 3x + 4 4. 4y" + 4y' + y = 3xex 6. 2y" +4y' + 7y=x² 8. y" - 4y = cosh 2x 9. y" + 2y' - 3y = 1 + xe* 10. y" +9y = 2 cos 3x + 3 sin 3x 11. y(³) + 4y' = 3x − 1 - - 12. y(³) + y' = 2 — sin x 14. y(4) — 2y" + y = xe* 16. y" +9y = 2x²e³x + 5 13. y" + 2y' + 5y = e* sin x 15. y(5) + 5y (4) − y = 17 17. y" + y = sin x + x cos x 18. y(4) — 5y" + 4y = et — xe2x 19. y(5) + 2y(³) + 2y″ = 3x² − 1 20. y(³) — y = e* +7
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:5.5 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
y' -
5. y" + y' + y = sin² x
7. y” – 4y = sinh x x
6y= 2 sin 3x
2. y" — y' - 2y = 3x + 4
4. 4y" + 4y' + y = 3xex
6. 2y" +4y' + 7y=x²
8. y" - 4y
= cosh 2x
9. y" + 2y' - 3y = 1 + xe*
10. y" +9y = 2 cos 3x + 3 sin 3x
11. y(³) + 4y' = 3x − 1
-
-
12. y(³) + y' = 2 — sin x
14. y(4) — 2y" + y = xe*
16. y" +9y = 2x²e³x + 5
13. y" + 2y' + 5y = e* sin x
15. y(5) + 5y (4) − y = 17
17. y" + y = sin x + x cos x
18. y(4) — 5y" + 4y
= et — xe2x
19. y(5) + 2y(³) + 2y″ = 3x² − 1
20. y(³) — y = e* +7
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