Page 359 - Schaum's Outline of Differential Equations

342 ANSWERS TO SUPPLEMENTARY PROBLEMS

CHAPTER 6

6.20. y = ce 5x 6.21. y = ce 5x

6.22. y = C(,0.01X 6.23. y = ce~*

6.24. y = ce~ x 6.25. y = ce ' x

3
6.26. y = ce ^ 6.27. y = c/x
6.28. y = c/x 2 6.29. y = ex 2

6.30. y = ce-2/x

6.34. y = ce fR + 1

6.36. y = c + sin x

2
2 4 2
2
6.38. y = l/(2x + cx ) 6.39. y = (6 + eg"* ' )
6.40. y= / ( l + ctf) 6.41. y = (1 + eg" -*) ' 13
3
l
x
6.42. y = e~ l(c - x) 6.43. y = ce- 50t
6.45. N=ce kt

6.48. T = (3.2t + c)e-° Mt

2 2>
6.51. y = 5e-^ -'
1
6.52. y = 2e~ x2 + x -1

6.54. v = -l6e- <+16
2

6.57. T=-60e-0.069r+30

CHAPTER 7

7.26. (a) JV=250e 0166 '; (b) 11.2 ht 7.27. (a) JV=300e 00912 '; (b) 7.6 hr

7.28. (a) 2.45 oz; (b) 15.19oz 7.29. 32 fold increase

7.30. 3.17hr 7.31. (a) N=80e° M34t (in millions);
(b) 91.5 million