)= te¹ + √ Tf(t = T)dt - f(t)=sin(t) — — tsin(t) t²e¹. 3te¹ f(t)= 4 4 f(t)=sin(t) + cos(t) f(t) = 4/7 17 f(t) = a b + e-t 8 4t 64sin(√17t) 17√17 3t 27sin(√10t) + 10 10√10 + et 8

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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Use the Laplace transform to solve the given integral equation.
f(t) = te² + √² T f(t = T)dT
a. f(t)=sin(t)- — tsin(
et
b. f(t)= 1²e¹ + 3te¹
4
4
c. f(t)=sin(t) + cos(t)
4t
d. f(t)= +
17
e. f(t)=
O
a
e
64sin(√17t)
17√17
3t 27sin(√10t)
10
10 10
+
8
8
Transcribed Image Text:Use the Laplace transform to solve the given integral equation. f(t) = te² + √² T f(t = T)dT a. f(t)=sin(t)- — tsin( et b. f(t)= 1²e¹ + 3te¹ 4 4 c. f(t)=sin(t) + cos(t) 4t d. f(t)= + 17 e. f(t)= O a e 64sin(√17t) 17√17 3t 27sin(√10t) 10 10 10 + 8 8
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