1) Show that the integral represen tution of the J-Sune hium 8(t) = - "ejut is equiralent to the Lorenteion representa hian of the J - Sum by studying on integal furm whose limit is the integral suking : repres en tution we are dw = e just-8 dw a) Now tha you have shown the the integral representaton ist

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1) Show that the integral ropresen tution of the J-Sunehium
dw
is equiralent to the Lorente ion representa tion of the J - Sunchon
by studyiny an integral form whoe limit is the integral
seeking :
dw =
repres en hution we are
ejut
jut -8 la
e
dw
a) Now that
you
have shown thet the integral representeton
is equiulent tao the Lorentaian represen tatium, show that
the Lorentzion representatian is indeed a J- funtion by
showing that
= 00
I.
dt
Transcribed Image Text:1) Show that the integral ropresen tution of the J-Sunehium dw is equiralent to the Lorente ion representa tion of the J - Sunchon by studyiny an integral form whoe limit is the integral seeking : dw = repres en hution we are ejut jut -8 la e dw a) Now that you have shown thet the integral representeton is equiulent tao the Lorentaian represen tatium, show that the Lorentzion representatian is indeed a J- funtion by showing that = 00 I. dt
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