Find the Laplace Transformation of y" +3y' +2y= 4e* when y (0) = 0, y (0) = 3 OY (s) = 2s +1 2+252s 1 2s+3 OY (s) = 4s-s-2 OY (s)- 3s- 2 +2s +s-2 3s+1, OY (s) 2+2s2 3s OY (s) st42s2s 2 3s+3 OY (s) - s2s2s2 ΟΥ (3) 3s+1 OY (s) -

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
Find the Laplace Transformation of
y" +3y' +2y= 4e*
when y (0) = 0, y' (0) = 3
OY (s)
2s 11
+25 s 1
2s 3
OY (s)
s-2
3s-2
OY (s)
12s+s-2
3s+1
O Y (s)
s12s2s-2
3s 1
O Y (s)
s+2s2
s 2
3s 3
ΟΥ ()
2124
OY (s)
OY(s)
Transcribed Image Text:Find the Laplace Transformation of y" +3y' +2y= 4e* when y (0) = 0, y' (0) = 3 OY (s) 2s 11 +25 s 1 2s 3 OY (s) s-2 3s-2 OY (s) 12s+s-2 3s+1 O Y (s) s12s2s-2 3s 1 O Y (s) s+2s2 s 2 3s 3 ΟΥ () 2124 OY (s) OY(s)
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