10.36. Use the generating function to work Problem 10.30 for the case where n is an integer. Jo (x) + 2J2(x) + 2J4(x) + •· (6) J, (2) – Ją(x) + J5(x) – J, (x) + 10.37. Show that (a) 1: ... = sin x. ... 10.38. Show that ,(2) = J2(x) – 2J,(x) + 3Jg(x) – #/2 10.39. Show that Jo(x) = J cos (z sin e) de. %3D /2 1- cos z 10.40. Show that (a) J, (x cos e) de =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Please help number 38. Do it step by step. 

10.36. Use the generating function to work Problem 10.30 for the case where n is an integer.
Jo (x) + 2J2(x) + 2J4(x) + •·
(6) J, (2) – Ją(x) + J5(x) – J, (x) +
10.37. Show that (a) 1:
...
= sin x.
...
10.38. Show that ,(2)
= J2(x) – 2J,(x) + 3Jg(x) –
#/2
10.39. Show that Jo(x) = J
cos (z sin e) de.
%3D
/2
1- cos z
10.40. Show that (a)
J, (x cos e) de =
Transcribed Image Text:10.36. Use the generating function to work Problem 10.30 for the case where n is an integer. Jo (x) + 2J2(x) + 2J4(x) + •· (6) J, (2) – Ją(x) + J5(x) – J, (x) + 10.37. Show that (a) 1: ... = sin x. ... 10.38. Show that ,(2) = J2(x) – 2J,(x) + 3Jg(x) – #/2 10.39. Show that Jo(x) = J cos (z sin e) de. %3D /2 1- cos z 10.40. Show that (a) J, (x cos e) de =
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