Page 391 - Schaum's Outline of Differential Equations

374 ANSWERS TO SUPPLEMENTARY PROBLEMS

23.43. g(x) = u(x - 3)f(x - 3) if f(x) =x + 3

23.44. g(x) = u(x - 3)f(x - 3) if f(x) =x + 4.

23.49. u(x - 3) cos 2(x - 3)

3
1
3(x 2)
23.52. 2u(x-2)e - 23.53. SwOt-iy- '*- '
23.54. u(x-2) 23.55. (jc - ^)M(JC - ^)
x
23.57. y(x) = -3e~ + 3e*-6x
23.58. y(x) = e* + xe* 23.59. y(x) = cos jc

23.60. y(x) = 0

CHAPTER 24

24.17. y = e- 2x 24.18. y=l

24.21. y = 0 24.22. y = 2e + xe 5x
5x

24.34. y = smx