Page 396 - Schaum's Outline of Differential Equations

ANSWERS TO SUPPLEMENTARY PROBLEMS 379

in
28.34. y = Clx + cf m 28.35. y --c1x2+c22 Inx
28.36. y = c^- + c 2x~ 4 28.37.y=c1x-1c2x2
m
28.38. y = c l + c 2x 7

CHAPTER 29

3
29.10. H s(x) = 32X 5 - 16CU + 12Ck

29.14. T 5(x) = 16x - 2CU + 5x
3
5
29.16. 4

29.18. H 1(x) = 2x
2
3
29.19. L\(x) = - 6x + 18; L\(x) = 4x - 48x + I44x - 96
29.20. (a) no; (b) yes (3 and 6); (c) no; (d) yes (7 and 8); (e) yes (2 and 11)

CHAPTER 30

30.19. 1.4296 30.20. 2.6593

30.21. 7.1733 30.22. -0.8887

30.23. 3.0718

30.26. First separate the k = 0 term from the series, then making the change of variables j = k — 1, and finally change the
dummy index from j to k.