Page 239 - Schaum's Outline of Differential Equations

222 THE LAPLACE TRANSFORM [CHAP. 21

Fig. 21-5

21.43. f(x)=x 1 21.44. f(x)=xcos3x

s
21.45. f(x)=x e- x
21.48. f(x) = 5e-* 13

21.50. f(x) = 8e~ 5x

21.53. /(*) = -!. 21.54. f(x) = e- sin2x
x
x
21.55. f(x) = e sin 2x 21.56. /(jc) = e^ cos 2x
3x
3x
21.57. f(x) = e cos 2x 21.58. /(jc) = e cos 5^:
2
2x
3
21.61. f(x) = e- sin x 21.62. x + 3 cos 2x
21.63. 5f^ + le- x 21.64. /(jt) = 2 + 3x
21.65. /(jc) = 3-4;e 2 21.66. /(jc) = 2x + 5 sin 3;c
21.67. /(jc) = 2 cos 3x - sin 3x 21.68. 2X 2 cosh jc

2
21.69. 2^6-•'cosh* 21.70. ^ sin4^

21.74. f(x) in Fig. 21-6

21.75. f(x) in Fig. 21-7 21.76. f(x) in Fig. 21-8