Let ufA be the evact solokian of the Inf: y"-g`-2y =tẻ, ylols1, y'co) =-1. Find he Laplace transform, Yis) of glt), and then find y(t). (a) YGs)= , ' yA = 2+cost - sint a tet y(A) = 2+ cost -Sint+tet Is-112 2 (b) Y(s) = 75-1]=" (st)? y(t) =tet+ te *+ 2e* %3D 5-2 (6) Ys)= 4. 1. 2 (s-1)2 3 S-2 |2 Stl, (A) Yis) = gl41=2e* te*te* +l %3D Stl (5-1)2 (s-1) 1. le) None of these.
Let ufA be the evact solokian of the Inf: y"-g`-2y =tẻ, ylols1, y'co) =-1. Find he Laplace transform, Yis) of glt), and then find y(t). (a) YGs)= , ' yA = 2+cost - sint a tet y(A) = 2+ cost -Sint+tet Is-112 2 (b) Y(s) = 75-1]=" (st)? y(t) =tet+ te *+ 2e* %3D 5-2 (6) Ys)= 4. 1. 2 (s-1)2 3 S-2 |2 Stl, (A) Yis) = gl41=2e* te*te* +l %3D Stl (5-1)2 (s-1) 1. le) None of these.
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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![Let uA be the exact saolution of the Iuf: y" -gy`-2y.=te';
ylal=1, y'lo) -1. Find te Laplace transform, Y(s) of ylt),
and then find g(t).
la) Y(s)= 6-11?, y(4)= 2t cost - Sint stet
yt) = tet+ tet+ 2e²+
%3D
(5-112
2
(b) Y(s) = 75-1]= * Ts t)?
S-2
(6) Ys) =
4 s-1
2 (s-1)2
3 S-2
12 S+1,
Re*-te*te* +\
2
(6) YIs) =
%3D
(5-1)2 (s-1)
le) None of these.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5425df32-d62a-4a4c-84d1-e0b164743a05%2F7b9fe6e8-664d-4542-a8fa-e9652c1c91c1%2Fvbcb8qy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let uA be the exact saolution of the Iuf: y" -gy`-2y.=te';
ylal=1, y'lo) -1. Find te Laplace transform, Y(s) of ylt),
and then find g(t).
la) Y(s)= 6-11?, y(4)= 2t cost - Sint stet
yt) = tet+ tet+ 2e²+
%3D
(5-112
2
(b) Y(s) = 75-1]= * Ts t)?
S-2
(6) Ys) =
4 s-1
2 (s-1)2
3 S-2
12 S+1,
Re*-te*te* +\
2
(6) YIs) =
%3D
(5-1)2 (s-1)
le) None of these.
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