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Find the laplace transform of f (t) = te2t sin 2t %3D

Find the laplace transform of f (t) = te2t sin 2t %3D

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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Find the laplace transform of f (t) = te2t sin 2t %3D O F(s) = +5) 4r+8)" 2s 12 64s (s2-45+8) (3²–4s+8)? O F(s) = 12 48 (s2-4s+8) (s²–4s+8)? (s? –4s+8)* OF(s): 2s+8 64 %3D (s2-4s+8) (s²-4s+8)* 2s 12s+2 64 OF(s)% = %3D (s²-45+8) (s²-4s+8)? (s²-4s+8) 12s+2 48 OF(s): %3D (s²-4s+8)² (s²-4s+8)° 12s+2 OF (s) = 48 %3D | (s²-4s+8)2 (s² –4s+8) O F (s) 12 64 (s? –4s+8) (s?-4s+8) O F (s) = 2s 36 (s²-4s+8) (s2-4s+8)? (s²-4s+8)°
Transcribed Image Text:Find the laplace transform of f (t) = te2t sin 2t %3D O F(s) = +5) 4r+8)" 2s 12 64s (s2-45+8) (3²–4s+8)? O F(s) = 12 48 (s2-4s+8) (s²–4s+8)? (s? –4s+8)* OF(s): 2s+8 64 %3D (s2-4s+8) (s²-4s+8)* 2s 12s+2 64 OF(s)% = %3D (s²-45+8) (s²-4s+8)? (s²-4s+8) 12s+2 48 OF(s): %3D (s²-4s+8)² (s²-4s+8)° 12s+2 OF (s) = 48 %3D | (s²-4s+8)2 (s² –4s+8) O F (s) 12 64 (s? –4s+8) (s?-4s+8) O F (s) = 2s 36 (s²-4s+8) (s2-4s+8)? (s²-4s+8)°
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