6. (3 points) Given F(s) = L{f(t)} = answers with no or minimal work.) G(s) = 2- G(s) = G(s): = G(s): 82 -2 (s² + 2)² = 1 (0+2) ((~²+23²) (s+ 2)² - 4 ((s+ 2)² + 2)² (s - 2)² - 4 ((s - 2)² + 2)² S²4 find G(s) = L{et f(t)} (No points will be deducted for correct (s² + 2)²¹ Clearly fill in the circle by the correct answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Hi, could you please show how to get to the correct answer, I am assuming it uses partial fraction decomposition but I am unsure how to do that.

6. (3 points) Given F(s) = L{f(t)} =
answers with no or minimal work.)
G(s) = 2.
8² 2
(s² + 2)²
G(s) =
G (s) = ( 8 +
(5 + 2) (8² +
1
2
G(s) =
- 2
+ 2)²
(s+ 2)² - 4
((s+ 2)² + 2)²
(s − 2)² - 4
((s −2)² + 2)²
- 4
(s² + 2)²¹
find G(s) = L{e²t f(t)} (No points will be deducted for correct
Clearly fill in the circle by the correct answer.
Transcribed Image Text:6. (3 points) Given F(s) = L{f(t)} = answers with no or minimal work.) G(s) = 2. 8² 2 (s² + 2)² G(s) = G (s) = ( 8 + (5 + 2) (8² + 1 2 G(s) = - 2 + 2)² (s+ 2)² - 4 ((s+ 2)² + 2)² (s − 2)² - 4 ((s −2)² + 2)² - 4 (s² + 2)²¹ find G(s) = L{e²t f(t)} (No points will be deducted for correct Clearly fill in the circle by the correct answer.
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