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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
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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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
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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