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Find the Laplace transforms of the following functions: 3 -4 (s + 3)² + 16 4s2 – 4s + 2 (s – 1)3 13 3s (s – 3)2 + 4 f(t) -e-31 sin 4t + 3 Ans. f(t) = (t + 2)²e' Ans. f(t) = 2e3t sin 2t – 3e³ª cos 2t Ans. -

Find the Laplace transforms of the following functions: 3 -4 (s + 3)² + 16 4s2 – 4s + 2 (s – 1)3 13 3s (s – 3)2 + 4 f(t) -e-31 sin 4t + 3 Ans. f(t) = (t + 2)²e' Ans. f(t) = 2e3t sin 2t – 3e³ª cos 2t Ans. -

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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LINEARITY, SHIFTING AND CHANGE OF SCALE PROPERTIES Find the Laplace transforms of the following functions: , 1) f(t) = -e-3t sin 4t + 3 -4 3 Ans. (s + 3)2 + 16 4s2 4s + 2 (s 1)3 13 2) f(t) = (t + 2)²e' Ans. 3s (s - 3)2 + 4 1. (s + 1)² 3) f(t) = 2e3t sin 2t - 3e cos 2t Ans. 2.1 %3D 4) f(t) = (1 + te-)3 Ans. 23 (s + 2)3 (s + 3)ª 5) If Lf(t) es find f(4t) Ans. B.
Transcribed Image Text:LINEARITY, SHIFTING AND CHANGE OF SCALE PROPERTIES Find the Laplace transforms of the following functions: , 1) f(t) = -e-3t sin 4t + 3 -4 3 Ans. (s + 3)2 + 16 4s2 4s + 2 (s 1)3 13 2) f(t) = (t + 2)²e' Ans. 3s (s - 3)2 + 4 1. (s + 1)² 3) f(t) = 2e3t sin 2t - 3e cos 2t Ans. 2.1 %3D 4) f(t) = (1 + te-)3 Ans. 23 (s + 2)3 (s + 3)ª 5) If Lf(t) es find f(4t) Ans. B.
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