0 eg put (1) in f|L) = < ² cos(21), 3 siu (22), A 3√5 355 255 f(2)= < 3105 |24] 3sin (22) L

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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put (t) in of Ⓒ
f|L) = < 3 (05 (21), 3 siu (22), AL)
T
L (t
f(L) = < <ws (21), 2 sin (245) />
3105
7
315
J5
where I is the Are length.
B flt)= < 21053+, 2siu3+, 2+3/2)
||f²|1)|| = 3] ++
t
=
L
3√ ++4 dt =
=
(+ +4√³/2
=
2+8= (7+4) ³/₂
(L+8) 1/2
- y =
-
(3 (+ + 4) ²³/2 x ²
3
+
"
0
(+ +4) ²³/2 = (24) 3/2
8
215
f(2)= < 2 (053 [(2+3)*³3 _u] ₂2 sin 3 [((+8) ³/² =4],
2 [(1 +85²33-4738/2)
Transcribed Image Text:put (t) in of Ⓒ f|L) = < 3 (05 (21), 3 siu (22), AL) T L (t f(L) = < <ws (21), 2 sin (245) /> 3105 7 315 J5 where I is the Are length. B flt)= < 21053+, 2siu3+, 2+3/2) ||f²|1)|| = 3] ++ t = L 3√ ++4 dt = = (+ +4√³/2 = 2+8= (7+4) ³/₂ (L+8) 1/2 - y = - (3 (+ + 4) ²³/2 x ² 3 + " 0 (+ +4) ²³/2 = (24) 3/2 8 215 f(2)= < 2 (053 [(2+3)*³3 _u] ₂2 sin 3 [((+8) ³/² =4], 2 [(1 +85²33-4738/2)
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