7) F(s)= 1 s² + s/2 Ans. f(1)=2-2 e 1/2

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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Mathematics
Electrical & Electronic Engineering Department
1
7) F(s) =
s² + s/2
8) F(s)=-
1
s³-ks²
5
9) F(s)=3-5s
1
10) F(s)=-
5-45²
11) F(s) =
12) F(s)=-
13) F(s) =
14) F(s) =
nπ
(s+ 2)² +n²n²
S
(s+3)² +1
2(e ²¹-e¹¹)
S
Second
Dr. Atheer Ala
Ans. f(t)=2-2e-1/2
Ans. f(1) = (e"-1)-
1/2 1/1/2
Ans. f(1) = cosh(√51)-1
Ans. f(1) = sinh(21)-1
)=
Ans. f(1) = e sin(nt)
Ans. f(t)=e" (cos(1)-3 sin(1))
2 <1<4
Ans. f(t) =
elsewhere
t>a
Ans. f(t)=-
1<a
@-ft-a
0
Transcribed Image Text:Mathematics Electrical & Electronic Engineering Department 1 7) F(s) = s² + s/2 8) F(s)=- 1 s³-ks² 5 9) F(s)=3-5s 1 10) F(s)=- 5-45² 11) F(s) = 12) F(s)=- 13) F(s) = 14) F(s) = nπ (s+ 2)² +n²n² S (s+3)² +1 2(e ²¹-e¹¹) S Second Dr. Atheer Ala Ans. f(t)=2-2e-1/2 Ans. f(1) = (e"-1)- 1/2 1/1/2 Ans. f(1) = cosh(√51)-1 Ans. f(1) = sinh(21)-1 )= Ans. f(1) = e sin(nt) Ans. f(t)=e" (cos(1)-3 sin(1)) 2 <1<4 Ans. f(t) = elsewhere t>a Ans. f(t)=- 1<a @-ft-a 0
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