If y" – 2y + 6y = sin(3t), y (0) = 2, y (0) = 3 %3| then find Y (s) = L {y(t)}. O Y (s) = -20+0)(6*+9) 3 2s-1 (s² – g2 – 2s+6 O Y (s) = 3 3 s2 –2s+6 s2 +9 O Y (s) = 3 (s² – 2s+6)(s²+9) 3s+2 28-1 Y (s) (s² – 2s+6)(s² +9) s2 –2s+6 3 3s+4 (s² – 2s+6)(s²+9) s2 –2s+6 3(s² –2s+6) 2s-3 Y (s) s2 +9 s2 –2s+6

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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Question
If y" – 2y + 6y = sin(3t), y (0) = 2, y (0) = 3
%3|
then find Y (s) = L {y(t)}.
3
2s-1
(s² – 2s+6)(s²+9)
s2 – 2s+6
OY (s) = 2s+6 ++9
3
3
s2+9
O Y (s) =
3
(s² – 2s+6)(s²+9)
3s+2
2s-1
Y (s)
(s² – 2s+6)(s² +9)
s2 –2s+6
3
3s+4
(s² – 2s+6)(s²+9)
s2 –2s+6
3(s² –2s+6)
2s-3
Y (s)
s2 +9
s2 –2s+6
Transcribed Image Text:If y" – 2y + 6y = sin(3t), y (0) = 2, y (0) = 3 %3| then find Y (s) = L {y(t)}. 3 2s-1 (s² – 2s+6)(s²+9) s2 – 2s+6 OY (s) = 2s+6 ++9 3 3 s2+9 O Y (s) = 3 (s² – 2s+6)(s²+9) 3s+2 2s-1 Y (s) (s² – 2s+6)(s² +9) s2 –2s+6 3 3s+4 (s² – 2s+6)(s²+9) s2 –2s+6 3(s² –2s+6) 2s-3 Y (s) s2 +9 s2 –2s+6
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