L[u(1 – 3) (r²4' – 9 4')] = In 4 e-" (금 + 음) ㅇ -3s 64e 2 (s-In 4)3 (s-In 4)2 In 3 e-4s (를 - 8 -4s e 2 + (s-3)3 8. (s-3)² 81e-4s 2 (s-In 3) 16 (s-In 3)2 2 81e-4s (s-In 3)3 8 (s-In 3)²

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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L[u(t – 3) (r²4' – 9 4')] =
In 4 e-» (공 + 음) ○
-3s
2
64e
(s-In 4)³
9
(s-In 4)²
In 3 e-t* (를 + ) O
e 4s
+
s-3)3
8
(s–3)²
81e-4s
(s-In 3)³
16
(s-In 3)²
81e-4s (-
+
(s-ln 3)³
8
(s-In 3)-
Transcribed Image Text:L[u(t – 3) (r²4' – 9 4')] = In 4 e-» (공 + 음) ○ -3s 2 64e (s-In 4)³ 9 (s-In 4)² In 3 e-t* (를 + ) O e 4s + s-3)3 8 (s–3)² 81e-4s (s-In 3)³ 16 (s-In 3)² 81e-4s (- + (s-ln 3)³ 8 (s-In 3)-
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