y' (t) – 2t = -13 :| y(u)du con y(0) = 10 0.

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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Consider the equation:

the equation is in the first attached image

When performing the process to solve the given equation, using the Laplace transform, the expression corresponding to Y (s) is obtained:

the answers are in the second attached image
 
 
 
 
y' (t) – 2t = -13
| y(u)du con y(0) = 10
||
0.
Transcribed Image Text:y' (t) – 2t = -13 | y(u)du con y(0) = 10 || 0.
10s + 2
a) Y(s) =
s2 + 13
2
b) Y(s) =
13
1
128
+
13 s2 + 13
-10s? – 2
s(s2 + 13)
c) Y(s) =
2
1
128
1
d) Y(s) =
13
13
s2 + 13
Transcribed Image Text:10s + 2 a) Y(s) = s2 + 13 2 b) Y(s) = 13 1 128 + 13 s2 + 13 -10s? – 2 s(s2 + 13) c) Y(s) = 2 1 128 1 d) Y(s) = 13 13 s2 + 13
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