・ST F(t- Tf(t - T)dT f(t)=te¹ +

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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Use the Laplace transform to solve the given integral equation.
S T f(t-T)dT
0
f(t) = te¹ +
a. f(t)=sin(t)-
b. f(t) =
e. f(t)=
t² et 3tet
+
4
4
c. f(t)=sin(t) + cos(t)
d. f(t)=
-tsin(t)
4t
17
+
-
64sin(√17t)
17√17
3t 27sin(√10t)
10
10√10
+
e-t et
8
8
Transcribed Image Text:Use the Laplace transform to solve the given integral equation. S T f(t-T)dT 0 f(t) = te¹ + a. f(t)=sin(t)- b. f(t) = e. f(t)= t² et 3tet + 4 4 c. f(t)=sin(t) + cos(t) d. f(t)= -tsin(t) 4t 17 + - 64sin(√17t) 17√17 3t 27sin(√10t) 10 10√10 + e-t et 8 8
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