Problem 7: ) Find the Laplace transform of the function S(1) = te" + (t- 3) u(t- 1)+e-8(t - 2)
Problem 7: ) Find the Laplace transform of the function S(1) = te" + (t- 3) u(t- 1)+e-8(t - 2)
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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Transcribed Image Text:Problem 7:
) Find the Laplace transform of the function
S(1) = tet + (t – 3)u(t – 1) +e*-©8(t – 2)

Transcribed Image Text:TABLE OF LAPLACE TRANSFORMS
L{1}
n!
L{t"}
sn+1
L {sin (at)}
s2 + a?
L{cos (at)}
s2 + a?
1
S - a
L{d(t – a)}
L{f(t)8(t – a)}
f(a)e-as
F(s – a)
s"Y (s) – s"-'y(0) – ...- y(n-1)(0)
L{f * g}
F(s) G(s)
-as
L{U (t – a)}
L{f(t – a)U (t – a)}
e-a* F(s)
MISCELLANEOUS FORMULAS
yıf
%3D
W
W
Y2
Yn
...
W =
(n)
(n)
(n)
Yn
...
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