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Lee fiR-> R continonsliy diffenentiable functionwi4th penod aT * fx+21) = f(x) and factan) %3D also Fdx = 0 Use the fourler sepiles and Parsevall's identities prove killowing to inquality 23 write out f)ni and fCx) in their full series to determine A. md C. A and Die then use each o efficlent to determine relwtion between and bic und Ca io7 fa) = Ao +$ Ak cos Ckx) t Bx sin (ka) 2 f'(x) = t. to E Ck CosCkx) t DK sin(ke)

Lee fiR-> R continonsliy diffenentiable functionwi4th penod aT * fx+21) = f(x) and factan) %3D also Fdx = 0 Use the fourler sepiles and Parsevall's identities prove killowing to inquality 23 write out f)ni and fCx) in their full series to determine A. md C. A and Die then use each o efficlent to determine relwtion between and bic und Ca io7 fa) = Ao +$ Ak cos Ckx) t Bx sin (ka) 2 f'(x) = t. to E Ck CosCkx) t DK sin(ke)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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use Fourier series and Parsevall's identities to prove inequality 

allet f:R->R * fCX+2M) = f() diffenentiable - function rWith Con period at 关 and also | foldx=0 A 2abiana) sepiles and Parsevall Š identities to prove lowing Use the four er inquelity 2. 一π 23 write out fGx) nis and f'Gx)i A. wnd Co Ar and Dic in theirnd full series to determine co efficlent? then use TT each to determinerelation between and Bic und Ca im7 As fle) = Ao + $ Ak cos(kx) tBx sin (ka) ニ to Ck Cos(kx) t Dk sin(kx)
Transcribed Image Text:allet f:R->R * fCX+2M) = f() diffenentiable - function rWith Con period at 关 and also | foldx=0 A 2abiana) sepiles and Parsevall Š identities to prove lowing Use the four er inquelity 2. 一π 23 write out fGx) nis and f'Gx)i A. wnd Co Ar and Dic in theirnd full series to determine co efficlent? then use TT each to determinerelation between and Bic und Ca im7 As fle) = Ao + $ Ak cos(kx) tBx sin (ka) ニ to Ck Cos(kx) t Dk sin(kx)
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