s – a L{et cos bt} (s – a)² + b² * EXAMPLE 3! L{t³ + 5t – 2} = L{t³} + 5L{t} – 2L{1} +5- 1 2- - S ΕΧΑMPLE 3! L{e“(t³ + 5t – 2)} = 1 + 5 (s – 2)² 1 2 s – 2° - (s – 2)4 -

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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Please answer
s – a
L{eª cos bt}
(s – a)² + b² '
-
EXAMPLE
3!
L{t³ + 5t – 2} = L{t³} + 5L{t} – 2L{1}
1
1
+ 5-
2-.
S
EΧΑΜPLE
3!
L{e² (t³ + 5t – 2)} =
1
+5
(s – 2)2
1
2-
8 – 2
-
(s – 2)4
Transcribed Image Text:s – a L{eª cos bt} (s – a)² + b² ' - EXAMPLE 3! L{t³ + 5t – 2} = L{t³} + 5L{t} – 2L{1} 1 1 + 5- 2-. S EΧΑΜPLE 3! L{e² (t³ + 5t – 2)} = 1 +5 (s – 2)2 1 2- 8 – 2 - (s – 2)4
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