Need help for 34 please ```markdown## 3.5 ProblemsIn Problems 1 through 20, find a particular solution \( y_p \) of the given equation. In all these problems, primes denote derivatives with respect to \( x \).1. \( y'' + 16y = e^{3x} \)2. \( y'' - y' - 2y = 3x + 4 \)3. \( y'' - y - 6y = 2 \sin 3x \)4. \( 4y'' + 4y' + y = 3xe^x \)5. \( y'' + y' + y = \sin^2 x \)6. \( 2y'' + 4y' + 7y = x^2 \)7. \( y'' - 4y = \sinh x \)8. \( y'' - 4y = \cosh 2x \)9. \( y'' + 2y' - 3y = 1 + xe^x \)10. \( y'' + 9y = 2 \cos 3x + 3 \sin 3x \)11. \( y^{(3)} + 4y'' = 3x - 1 \)12. \( y^{(3)} + y' = 2 - \sin x \)13. \( y'' + 2y' + 5y = e^x \sin x \)14. \( y^{(4)} - 2y'' + y = xe^x \)15. \( y(5) + 5y(4) - y = 17 \)16. \( y'' + 9y = 2x^2 e^{3x} + 5 \)17. \( y'' + y = \sin x + x \cos x \)18. \( y^{(4)} - 5y'' + 4y = e^x - xe^2 x \)19. \( y^{(5)} + 2y(3) + 2y'' = 3x^2 - 1 \)20. \( y^{(3)} - y = e^x + 7 \)In Problems 21 through 30, set up the appropriate form of a particular solution \( y_p

Name: Need help for 34 please ```markdown## 3.5 ProblemsIn Problems 1 throug
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Need help for 34 please ```markdown## 3.5 ProblemsIn Problems 1 through 20, find a particular solution \( y_p \) of the given equation. In all these problems, primes denote derivatives with respect to \( x \).1. \( y'' + 16y = e^{3x} \)2. \( y'' - y'