Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. t, t<3 1, t>3 y" + 5y = g(t), y(0) = 1, y'(0) = 0, where g(t) = Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. - Y(s) = S 1 + 2 s²+5 s² (s²+5) s² (s² +5 +5) e -3s (Type an exact answer in terms of e.) plz help the currrent ans is wrong

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below.
t, t<3
1, t>3
y" + 5y = g(t), y(0) = 1, y'(0) = 0, where g(t) =
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
-
Y(s) =
e
S
1
+
2
s²+5 s² (s²+5) s² (s² +5
+5)
-3s
(Type an exact answer in terms of e.)
plz help the currrent
ans is wrong
Transcribed Image Text:Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. t, t<3 1, t>3 y" + 5y = g(t), y(0) = 1, y'(0) = 0, where g(t) = Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. - Y(s) = e S 1 + 2 s²+5 s² (s²+5) s² (s² +5 +5) -3s (Type an exact answer in terms of e.) plz help the currrent ans is wrong
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