06. If y(t) is the solution of the ivp {{ S__2e-28 A._y(t) = L-1 B. y(t) = -1 C. y(t) = L-1 s+6 83 3 (8-2)2 + (8 +22} (t) 2e-2s ( 5³ (8-2)² + s +2} (t) 83 E. y(t) = L-¹ 2e-2s ³ (s — 2)² 83 D. y(t) = -1_2e-28 s³ (s — 2)² + 1 8-2 y" - y(0) = 1 - 2)² (s- (t) e-28 { +6 (8³ (8-2)2 + (8-2)2} (t) S3 and y'(0) = 2
06. If y(t) is the solution of the ivp {{ S__2e-28 A._y(t) = L-1 B. y(t) = -1 C. y(t) = L-1 s+6 83 3 (8-2)2 + (8 +22} (t) 2e-2s ( 5³ (8-2)² + s +2} (t) 83 E. y(t) = L-¹ 2e-2s ³ (s — 2)² 83 D. y(t) = -1_2e-28 s³ (s — 2)² + 1 8-2 y" - y(0) = 1 - 2)² (s- (t) e-28 { +6 (8³ (8-2)2 + (8-2)2} (t) S3 and y'(0) = 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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Transcribed Image Text:06. If y(t) is the solution of the ivp
A. y(t) = (-1
B. y(t) = -1 [_2e-28
D. _y(t) = L-¹
-1
s +6
2e-28
+
S³ (S-2)² (s- 2)²
22}
E. y(t) = L-¹
Jy" - 4y + 4y = (t - 2)² u₂ (t)
y(0) = 1 and y'(0) = 2
C. L-1
s³ (s
2}
c. y(t) = -¹ {~² (2-2)² + = = 2 }0
(t)
S
-
1
³ (0-2)² +*+2} (²)
(s
(t)
1
2e-2s
2) ² } (²
s³ (s - 2)² (s - 2)²
+ (t)
e-2s
s +6
s³
(s
83 (s − 2)² + (S-2)²} (t)
then
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