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Mathematics LibreTexts

11.35: A.5.4- Section 5.4 Answers

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1. yp=e3x(14+x2)

2. yp=e3x(1x4)

3. yp=ex(23x4)

4. yp=e2x(13x+x2)

5. yp=ex(1+x2)

6. yp=ex(2+x+2x2)

7. yp=xex(16+x2)

8. yp=xex(1+2x)

9. yp=xe3x(1+x2)

10. yp=xe2x(2+x)

11. yp=x2ex(1+x2)

12. yp=x2ex(12x)

13. yp=x2e2x2(1x+x2)

14. yp=x2ex/327(32x+x2)

15. y=e3x4(1+2x)+c1ex+c2e2x

16. y=ex(12x)+c1e2x+c2e4x

17. y=e2x5(1x)+e3x(c1+c2x)

18. y=xex(12x)+c1ex+c2e3x

19. y=ex[x2(12x)+c1+c2x]

20. y=e2x(1+x)+2exe5x

21. y=xe2x+3exe4x

22. y=ex(2+x2x2)e3x

23. y=e2x(3x)2e5x

24. yp=ex3(1x)+ex(3+2x)

25. yp=ex(3+7x)+xe3x

26. yp=x3e4x+1+2x+x2

27. yp=xe2x(12x)+xex

28. yp=ex(1+x)+x2ex

29. yp=x2ex+e3x(1x2)

31. yp=2e2x

32. yp=5xe4x

33. yp=x2e4x

34. yp=e3x4(1+2x2x2)

35. yp=xe3x(4x+2x2)

36. yp=x2ex/2(1+2x+3x2)

37.

  1. y=ex(43x3/2+c1x+c2)
  2. y=e3x[x24(2lnx3)+c1x+c2]
  3. y=e2x[(x+1)ln|x+1|+c1x+c2]
  4. y=ex/2(xln|x|+x36+c1x+c2)

39.

  1. ex(3+x)+c
  2. ex(1+x)2+c
  3. e2x8(3+6x+6x2=4x3)+c
  4. ex(1+x2)+c
  5. e3x(6+4x+9x2)+c
  6. ex(12x3+3x4)+c

40. (1)kk!eαxαk+1kr=0(αx)rr!+c


This page titled 11.35: A.5.4- Section 5.4 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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