Find the Laplace Transformation of -3x y" +3y + 2y 4e when y (0) = 2, y' (0) = 4 28² +16s+30 OY (s) s³ +682 +12s+6 2s²+16s+34 OY (s) s³ +68² +11s+6 28² +14s+34 OY (s) s³+6s2+12s+6 2s²+12s+34 OY (s) s³ +68² +12s+6 OY (s) = 2s²+16s+32 s³ +68² +12s+6 28²-16s+32 OY (s) s³ +682 +11s+6 2s²+6s+34 OY (s) = - s³+68² +12s+6 OY (s) 2s²+128-34 s³ +68² +11s+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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Find the Laplace Transformation of
y" + 3y + 2y
=
4e-3x
when y (0) = 2, y' (0) = 4
OY (s) =
2s²+16s+30
s³ +682 +12s+6
OY (s) =
28² +16s+34
s³ +682 +11s+6
OY (s) =
28² +14s+34
s³ +682 +12s+6
OY (s) =
28² +12s+34
s³ +682 +12s+6
OY (s) =
28² +16s+32
s³ +6s² +12s+6
OY (s) =
28²-16s+32
s³ +682 +11s+6
2s²+6s+34
OY (s) =
s³ +6s2+12s+6
OY (s)
28² +128-34
s³ +682 +11s+6
=
Transcribed Image Text:Find the Laplace Transformation of y" + 3y + 2y = 4e-3x when y (0) = 2, y' (0) = 4 OY (s) = 2s²+16s+30 s³ +682 +12s+6 OY (s) = 28² +16s+34 s³ +682 +11s+6 OY (s) = 28² +14s+34 s³ +682 +12s+6 OY (s) = 28² +12s+34 s³ +682 +12s+6 OY (s) = 28² +16s+32 s³ +6s² +12s+6 OY (s) = 28²-16s+32 s³ +682 +11s+6 2s²+6s+34 OY (s) = s³ +6s2+12s+6 OY (s) 28² +128-34 s³ +682 +11s+6 =
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