1. The Laplace transform of the function y(t) = t5 is a. 20/s5 b. 1/(s-5)6 c. 120/s6 2. The Laplace transform of the function y(t) = t4.etis a. 24/(s+7)5 3. The inverse Laplace transform of [ 7/(s²-49) ] is a. Cosh(7t) b. cosh(49t) c. sin(7t) d. 60/s4 b. t5/(s-4)7c. 24/(s-7)5 d. 24/(s-4)5 d. sinh(7t)
1. The Laplace transform of the function y(t) = t5 is a. 20/s5 b. 1/(s-5)6 c. 120/s6 2. The Laplace transform of the function y(t) = t4.etis a. 24/(s+7)5 3. The inverse Laplace transform of [ 7/(s²-49) ] is a. Cosh(7t) b. cosh(49t) c. sin(7t) d. 60/s4 b. t5/(s-4)7c. 24/(s-7)5 d. 24/(s-4)5 d. sinh(7t)
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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![1. The Laplace transform of the function y(t) = t5 is
a. 20/s5
b. 1/(s-5)6
c. 120/s6
d. 60/s4
2. The Laplace transform of the function y(t) = t.etis
a. 24/(s + 7)5 b. t5/(s-4)² c. 24/(s-7)5 d. 24/(s-4)5
3. The inverse
Laplace transform of [ 7/(s²-49) ] is
a. Cosh(7t)
b. cosh(49t)
c. sin(7t)
d. sinh(7t)
4. The inverse Laplace transform of [1 /(3s +2)] is:-
1
1
a.
b.
c.e³t
d. e²t
2
3
5. The inverse Laplace transform of [
1
s(s+2)4
] is a power series of a
repeated roots: -
a. [1-e-²¹(k₁ + k₂t)]
b. [1-e2t (k₁ + k₂t + k3t²)]
C. [1-e2t (k1 + k2t + k3t²+ k4t³)]
d. [1-e2t (k₁ + k₂t + k3t²+ k4t³+k5t4)]
6. The inverse Laplace transform of [ 12/(s −5)4] is :-
a. 2t5. e³t
b. 2t³. est
c. 4t³. e-st
d. 4t5. e-³t
e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d161e09-1ef5-4356-a483-775a9bedbefd%2F984ab573-55f9-4ceb-8d2c-84a1840c6e34%2Fmapp9kj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. The Laplace transform of the function y(t) = t5 is
a. 20/s5
b. 1/(s-5)6
c. 120/s6
d. 60/s4
2. The Laplace transform of the function y(t) = t.etis
a. 24/(s + 7)5 b. t5/(s-4)² c. 24/(s-7)5 d. 24/(s-4)5
3. The inverse
Laplace transform of [ 7/(s²-49) ] is
a. Cosh(7t)
b. cosh(49t)
c. sin(7t)
d. sinh(7t)
4. The inverse Laplace transform of [1 /(3s +2)] is:-
1
1
a.
b.
c.e³t
d. e²t
2
3
5. The inverse Laplace transform of [
1
s(s+2)4
] is a power series of a
repeated roots: -
a. [1-e-²¹(k₁ + k₂t)]
b. [1-e2t (k₁ + k₂t + k3t²)]
C. [1-e2t (k1 + k2t + k3t²+ k4t³)]
d. [1-e2t (k₁ + k₂t + k3t²+ k4t³+k5t4)]
6. The inverse Laplace transform of [ 12/(s −5)4] is :-
a. 2t5. e³t
b. 2t³. est
c. 4t³. e-st
d. 4t5. e-³t
e
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