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)
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)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 11E
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Laplace Transform

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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