1 sin ax = S(D) S(-D) sin ax f(ai)f (– ai) 40. f(ai) f(-ai) # 0.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Hi, pls answer the highlighted item in the attached image. Pls show complete solution. Need it asap. Thank you.

 

Topic: Differential Equation

In Exercises 40 through 45, verify the formulast stated.
1
sin ax =
S(D)
S(-D) sin ax
f(ai)f(-ai)
40.
;f(ai)f(-ai) + 0.
S(-D) cos ax
1
41.
cos ax =
f(D)
;f(ai)f(-ai) # 0.
S(ai) f(- ai)
f(-D) sinh ax
1
sinh ax =
; f(a)f(-a) # 0.
42.
S(D)
f(a) f(-a)
f(-D) cosh ax
1
cosh ax =
S(D)
; f(a)f(-a) +0.
%3D
43.
S(a) f(-a)
Transcribed Image Text:In Exercises 40 through 45, verify the formulast stated. 1 sin ax = S(D) S(-D) sin ax f(ai)f(-ai) 40. ;f(ai)f(-ai) + 0. S(-D) cos ax 1 41. cos ax = f(D) ;f(ai)f(-ai) # 0. S(ai) f(- ai) f(-D) sinh ax 1 sinh ax = ; f(a)f(-a) # 0. 42. S(D) f(a) f(-a) f(-D) cosh ax 1 cosh ax = S(D) ; f(a)f(-a) +0. %3D 43. S(a) f(-a)
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