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Find the laplace transform of f(t) = 2t¹ - 3e³t + 10 cos 2t

Find the laplace transform of f(t) = 2t¹ - 3e³t + 10 cos 2t

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 ƒ (t) = 2t¹ − 3e³t+10 cos 2t - O F (s) = 7s² -20s" +12s³−9Gs³+48s²+192x−384 OF (s) 781-20s-12x³--188³-958²-1928-384 13 OF (s)- 78"-20"-12" - 188²-92s² -1968-384 2ײ +16,² – 8, OF (s) 7-7-20"-12¹, 188³ - 192,7-968-384 OF (s) T«"-20" −120×'--18ײ-92<*-1968-381 7ײ_20×¹-20ײ – 188²-196ײ -192,-381 OF (s) O F(s) 7s1_20,"_128²-48s¹ -96ײ | 192«-384 2×7 - 16. F(s) 20+²_13ײ_4×ײ 96. 96× 38 120
Transcribed Image Text:Find the laplace transform of f ƒ (t) = 2t¹ − 3e³t+10 cos 2t - O F (s) = 7s² -20s" +12s³−9Gs³+48s²+192x−384 OF (s) 781-20s-12x³--188³-958²-1928-384 13 OF (s)- 78"-20"-12" - 188²-92s² -1968-384 2ײ +16,² – 8, OF (s) 7-7-20"-12¹, 188³ - 192,7-968-384 OF (s) T«"-20" −120×'--18ײ-92<*-1968-381 7ײ_20×¹-20ײ – 188²-196ײ -192,-381 OF (s) O F(s) 7s1_20,"_128²-48s¹ -96ײ | 192«-384 2×7 - 16. F(s) 20+²_13ײ_4×ײ 96. 96× 38 120
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