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 = 2 sin 3x 5. y" + y + y sin² = X 7. y” – 4y = sinh x 9. y" + 2y' - 3y = 1 + xex 10. y" +9y = 2 cos 3x + 3 sin 3x 11. y(³) + 4y' = 3x − 1 2. yy' - 2y = 3x + 4 y" 4. 4y" + 4y + y = 3xex 6. 2y" + 4y' + 7y = x² 8. y" - 4y = cosh 2x 12. y(3) + y' = 2 - sin x 14. y(4) - 2y" + y = xex y" +9y = 2x²e³x +5 16. 13. y" + 2y' + 5y = ex sinx 15. y(5) + 5y (4) - y = 17 17. y" + y = sin x + x cos x 18. y(4) – 5y” + 4y = e — xe2x 19. y(5) + 2y(3) + 2y″ = 3x² − 1 20. y(³) - y = ex + 7

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