If y" -6y' +9y = 5t², y (0) = 0, y' (0) = 1, what is the Laplace transform of y? 8 s²-68+9 + 10 -65+9+ 5³ (5²-65+9) 10 5³ (8²-65+9) s²-6s+9 10 83 (8²-68+9)

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Laplace Transform

If y" -6y + 9y = 5t², y (0) = 0, y′ (0) = 1, what is the Laplace transform of y?
10
$3 (8²-68+9)
O
C
s²-6s+9
1
5²-68+9
+
s²-6s+9
+
10
s³ (8²-6s+9)
10
$³ (8²-68+9)
Transcribed Image Text:If y" -6y + 9y = 5t², y (0) = 0, y′ (0) = 1, what is the Laplace transform of y? 10 $3 (8²-68+9) O C s²-6s+9 1 5²-68+9 + s²-6s+9 + 10 s³ (8²-6s+9) 10 $³ (8²-68+9)
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