Answers to Selected Exercises 561- b. (i)
_ -2x -.322888 -4x 1.73580 -x -. 170219
(.161444J ( -.433951J ( .170219Ju - cie - .16 1444 +c^2 e .433951 +c^3 e .170219
.322888 -1.73580 -.170219(- .163779J
-5x .8 18897
C^4 e -.163779
.818897(-2x .00 .16J -2x. (-.32.8 0 J
u = c^1 [e cosx -.l 6 - e smx.
32
]
.00 -.80- b. (ii)
(+c2[e -2x smx. __ .16.^00 J -2x ( -.32.8 0 J
16+e cosx _
32]
.00 -.80(x -.307729 .307729J -3x ( -.3590351.07711 J
+ c^3 e- .307729 + c^4 e -.359035
-.307729 1.07711- b. (iii)
+ c3[(e^1 x cosc5x)v3 - (e^1 x sinc5x)v4] + c4[(e^1 x sinc5x)v3 + (e^1 x cosc5x)v 4 ]where a= -1, {3 = 1.73205, 'Y = -1, c5 = 1, and
(.360288J
.000000Vl = -.360288 '
.000000
(-.208013J
.832050V^2 = .208013 '
-.832050(.300463J
.0 00000
v^3 = .300463 ' and
.000000
(-.300463J
.600925V^4 = - .3 00463
.600925