Find y (t) if y – y = 2cos(5t) and y(0) = 0 %3D * (e' – cos 5t + 5 sin 5t) 13 O 1 + (et + cos 5t – 25 sin 5t) 13 o 1 하(et-cos 5t + 25 sin 5t) 13 5(e' + cos 5t – 5 sin 5t) - 13 o (E) T-1S 28+5

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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ANSWER ALL PLS EVEN NO SOLUTION JUST ANSWER ALL

Find y (t) if y – y = 2cos(5t) and y(0) = 0
%3D
1
(et
cos 5t + 5 sin 5t)
13
O 1
금(e' + cos 5t-25 sin 5t)
13
1
(et
cos 5t + 25 sin 5t)
13
1
5(et + cos 5t – 5 sin 5t)
-
13
O (E)
}
28+5
L-1
82+68+34
-3t
(2 cos 5t
sin 5t )
-
-5t
e
(2 cos 3t
sin 3t )
-
(
2 cos 3t – sin 3t
e-5t
e-3t (
2 cos 5t – = sin 5t )
(E)
Find y(t) if 2y " +20y + 51y = 0and y(0) = 2, y' (0) = 0
o (E)
-5t
e
(cos t - 4/2sin :)
(cos t + 5v2 sin t)
-5t
COS
(2 cos t + 10/2 sin )
5t
e
(VECOS 블-2v2sin 플)
-5t
e
2 cos
Transcribed Image Text:Find y (t) if y – y = 2cos(5t) and y(0) = 0 %3D 1 (et cos 5t + 5 sin 5t) 13 O 1 금(e' + cos 5t-25 sin 5t) 13 1 (et cos 5t + 25 sin 5t) 13 1 5(et + cos 5t – 5 sin 5t) - 13 O (E) } 28+5 L-1 82+68+34 -3t (2 cos 5t sin 5t ) - -5t e (2 cos 3t sin 3t ) - ( 2 cos 3t – sin 3t e-5t e-3t ( 2 cos 5t – = sin 5t ) (E) Find y(t) if 2y " +20y + 51y = 0and y(0) = 2, y' (0) = 0 o (E) -5t e (cos t - 4/2sin :) (cos t + 5v2 sin t) -5t COS (2 cos t + 10/2 sin ) 5t e (VECOS 블-2v2sin 플) -5t e 2 cos
[a (t – a) – a (t – b)] = 1
-
if
• a <t < b
t > b
o a > t
o a >t> b
Evaluate:
L (t – 2)]
[( – 3t) a
3
2
-
-
g3
g2
8
2
1
+
82
-28
8
-+]
e28
1
83
8
(E)
e-28
+
Transcribed Image Text:[a (t – a) – a (t – b)] = 1 - if • a <t < b t > b o a > t o a >t> b Evaluate: L (t – 2)] [( – 3t) a 3 2 - - g3 g2 8 2 1 + 82 -28 8 -+] e28 1 83 8 (E) e-28 +
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