с. 24/(s - 7)5
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![المادة القياسات والسيطرة/عملي
2022/1/24 :
الوقت: ساعة واحدة
الجامعة التقنية الشمالية
الكلية التقئية الهندسية كركوك
قسم هندسة البيئة والتلوث
ے حسسن اللمن
Hint: attempt with 10 branches only
Choose one of the multiple choices filling each blank, as presented
below:-
1. The Laplace transform of the function y(t) = t° is
а. 20/s5
b. 1/(s – 5)6
c. 120/s®
d. 60/s4
in
2. The Laplace transform of the function y(t) = t.eis
a. 24/(s + 7)5 b. t(s – 4)7
c. 24/(s - 7)5
d. 24/(s – 4)5
3. The inverse Laplace transform of [ 7/(s? – 49)] is
a. Cosh(7t)
b. cosh(49t)
C. sin(7t)
d. sinh(7t)
4. The inverse Laplace transform of [1 /(3s +2)] is:-
b. e-
c. e3t
d. e2t
a.
e
1
5. The inverse Laplace transform of [
s(s+2)4 IS a power series of a
repeated roots: -
a. [ 1-e2(k1 + k2t)I
c. [1-e2 (kı + kat + k3t2+ kat°)] d. [1-e2 (k1 + k2t + k3t²+ kat³+ kst*)]
b. [1-e2 (kı + kzt + kat)]
6. The inverse Laplace transform of [ 12/(s -5)*] is :-
d. 4t. e 3t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4f4ceb3-7147-452f-b9dd-e5fe9d8b2a90%2F3c916a06-9149-49c5-ae1f-a2f4c139c153%2Fc68xgwl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:المادة القياسات والسيطرة/عملي
2022/1/24 :
الوقت: ساعة واحدة
الجامعة التقنية الشمالية
الكلية التقئية الهندسية كركوك
قسم هندسة البيئة والتلوث
ے حسسن اللمن
Hint: attempt with 10 branches only
Choose one of the multiple choices filling each blank, as presented
below:-
1. The Laplace transform of the function y(t) = t° is
а. 20/s5
b. 1/(s – 5)6
c. 120/s®
d. 60/s4
in
2. The Laplace transform of the function y(t) = t.eis
a. 24/(s + 7)5 b. t(s – 4)7
c. 24/(s - 7)5
d. 24/(s – 4)5
3. The inverse Laplace transform of [ 7/(s? – 49)] is
a. Cosh(7t)
b. cosh(49t)
C. sin(7t)
d. sinh(7t)
4. The inverse Laplace transform of [1 /(3s +2)] is:-
b. e-
c. e3t
d. e2t
a.
e
1
5. The inverse Laplace transform of [
s(s+2)4 IS a power series of a
repeated roots: -
a. [ 1-e2(k1 + k2t)I
c. [1-e2 (kı + kat + k3t2+ kat°)] d. [1-e2 (k1 + k2t + k3t²+ kat³+ kst*)]
b. [1-e2 (kı + kzt + kat)]
6. The inverse Laplace transform of [ 12/(s -5)*] is :-
d. 4t. e 3t
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