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Mathematics LibreTexts

14.45: Section 9.3 Answers

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1. yp=ex(2+xx2)

2. yp=e3x4(3x+x2)

3. yp=ex(1+xx2)

4. yp=e2x(15x+x2)

5. yp=xex2(1x+x2x3)

6. yp=x2ex(1+x)

7. yp=xe2x2(2+x)

8. yp=x2ex2(2+x)

9. yp=x2e2x2(1+2x)

10. yp=x2e3x(2+xx2)

11. yp=x2e4x(2+x)

12. yp=x3ex/248(1+x)

13. yp=ex(12x+x2)

14. yp=e2x(1x)

15. yp=e2x(1+x+x2x3)

16. yp=ex3(1x)

17. yp=ex(1+x)2

18. yp=xex(1+x3)

19. yp=xex(2+x)

20. yp=xe2x6(1x2)

21. yp=4xex/2(1+x)

22. yp=xex6(1+x2)

23. yp=x2e2x6(1+x+x2)

24. yp=x2e2x6(3+x+x2)

25. yp=x3ex48(2+x)

26. yp=x3ex6(1+x)

27. yp=x3ex6(1x+x2)

28. yp=x3e2x12(2+xx2)

29. yp=ex[(1+x)cosx+(2x)sinx]

30. yp=ex[(1x)cos2x+(1+x)sin2x]

31. yp=e2x[(1+xx2)cosx+(1+2x)sinx]

32. yp=ex2[(1+x)cos2x+(1x+x2)sin2x]

33. yp=x13(8cos2x+14sin2x)

34. yp=xex[(1+x)cosx+(3+x)sinx]

35. yp=xe2x2[(3x)cos2x+sin2x]

36. yp=xe3x12(xcos3x+sin3x)

37. yp=ex10(cosx+7sinx)

38. yp=ex12(cos2xsin2x)

39. yp=xe2xcos2x

40. yp=ex2[(1+x)cosx+(2x)sinx]

41. yp=xex10(cosx+2sinx)

42. yp=xex4(3cos2xsin2x)

43. yp=xe2x8[(1x)cos3x+(1+x)sin3x]

44. yp=xex4(1+x)sin2x

45. yp=x2ex4(cosx2sinx)

46. yp=x2e2x32(cos2xsin2x)

47. yp=x2e2x8(1+x)sinx

48. yp=2x2ex+xe2xcosx

49. yp=e2x+xex+2xcosx

50. yp=2x+x2+2xex3xex+4e3x

51. yp=xex(cos2x2sin2x)+2xe2x+1

52. yp=x2e2x(1+2x)cos2x+sin2x

53. yp=2x2(1+x)ex+xcosx2sinx

54. yp=2xex+xe2x+cosx

55. yp=xex6(cosx+sin2x)

56. yp=x254[(2+2x)ex+3e2x]

57. yp=x8sinhxsinx

58. yp=x3(1+x)ex+xe2x

59. yp=xex(2x2+cosx+sinx)

60. y=e2x(1+x)+c1ex+ex(c2+c3x)

61. y=e3x(1xx22)+c1ex+ex(c2cosx+c3sinx)

62. y=xe2x(1+x)2+c1ex+c2e2x+c3e3x

63. y=x2ex(1x)2+c1+ex(c2+c3x)

64. y=x3ex24(4+x)+ex(c1+c2x+c3x2)

65. y=x2ex16(1+2xx2)+ex(c1+c2x)+ex(c3+c4x)

66. y=e2x[(1+x2)cosx+(322x)sinx]+c1ex+c2ex+c3e2x

67. y=xexsin2x+c1+c2ex+ex(c3cosx+c4sinx)

68. y=x2ex16(1+x)cos2x+ex[(c1+c2x)cos2x+(c3+c4x)sin2x]

69. y=(x2+2)exe2x+e3x

70. y=ex(1+x+x2)+(1x)ex

71. y=(x212+16)xex/2ex

72. y=(2x)(x2+1)ex+cosxsinx

73. y=(2x)cosx(17x)sinx+e2x

74. 2+ex[(1+x)cosxsinx1]


14.45: Section 9.3 Answers is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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