Consider the equation v (1) – 2 = -13 / vu)du (0) = 10 | erforming the process to solve the given equation, using the Laplace transform, we obtain for he expression corresponding to 108 + 2 s + 13 I 2 1, 128 13 13 82+ 13 - 10s² - 2 s(s² + 13) 2 1 128 13 8 13 +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4) Answer the question shown in the image 

Consider the equation
/ (t) – 2t = -13
y(0) = 10
|
By performing the process to solve the given equation, using the Laplace transform, we obtain for
Y(s) the expression corresponding to
Y(s)-
s? + 13
10s + 2
I
2 1
128
Y(s)-
13 8
13 2 + 13
- 10sº – 2
s(8? + 13)
Y(s)
2 1
128
Y(s)
13
13
g² + 13
Transcribed Image Text:Consider the equation / (t) – 2t = -13 y(0) = 10 | By performing the process to solve the given equation, using the Laplace transform, we obtain for Y(s) the expression corresponding to Y(s)- s? + 13 10s + 2 I 2 1 128 Y(s)- 13 8 13 2 + 13 - 10sº – 2 s(8? + 13) Y(s) 2 1 128 Y(s) 13 13 g² + 13
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