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A.5.5: Section 5.5 Answers

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1. yp=cosx+2sinx

2. yp=cosx+(22x)sinx

3. yp=ex(2cosx+3sinx)

4. yp=e2x2(cos2xsin2x)

5. yp=ex(xcosxsinx)

6. yp=e2x(12x)(cos3xsin3x)

7. yp=x(cos2x3sin2x)

8. yp=x[(2x)cosx+(32x)sinx]

9. yp=x[xcos(x2)3sin(x2)]

10. yp=xex(3cosx+4sinx)

11. yp=xex[(1+x)cos2x+(1+x)sin2x]

12. yp=(1410x)cosx(2+8x4x2)sinx

13. yp=(1+2x+x2)cosx+(1+3x2)sinx

14. yp=x22(cos2xsin2x)

15. yp=ex(x2cosx+2sinx)

16. yp=ex(1x2)(cosx+sinx)

17. yp=ex(x2x3)(cosx+sinx)

18. yp=ex[(1+2x)cosx(13x)sinx]

19. yp=x(2cos3xsin3x)

20. yp=x3cosx+(x+2x2)sinx

21. yp=ex[(x+x2)cosx(1+2x)sinx]

22. y=ex(2cosx+3sinx)+3exe6x

23. y=ex[(1+2x)cosx+(13x)sinx]

24. y=ex(cosx2sinx)+e3x(cosx+sinx)

25. y=e3x[(2+2x)cosx(1+3x)sinx]

26. y=e3x[(2+3x)cosx+(4x)sinx]+3ex5e2x

27. yp=xe3xex5(cosx2sinx)

28. yp=x(cosx+2sinx)ex2(1x)+ex2

29. yp=xex2(2+x)+2xe2x+110(3cosx+sinx)

30. yp=xex(cosx+xsinx)+ex25(4+5x)+1+x+x22

31. yp=x2e2x6(3+x)e2x(cosxsinx)+3e3x+14(2+x)

32. y=(12x+3x2)e2x+4cosx+3sinx

33. y=xe2xcosx+3cos2x

34. y=38cos2x+14sin2x+ex138e2x34xe2x

40.

  1. 2xcosx(2x2)sinx+c
  2. ex2[(1x2)cosx(1x)2sinx]+c
  3. ex25[(4+10x)cos2x(35x)sin2x]+c
  4. ex2[(1+x)2cosx(1x2)sinx]+c
  5. ex2[x(33x+x2)cosx(33x+x3)sinx]+c
  6. ex[(12x)cosx+(1+x)sinx]+c
  7. ex[xcosx+x(1+x)sinx]+c

This page titled A.5.5: Section 5.5 Answers is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by William F. Trench.

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