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Find the Laplace transform of the following function. (t+1)h(t – 2) + (t – 3)h(t – 4). F(s) 4 s2 O F(») = e * (± - !) +e * (; - ?) F(s) = e-2 (1 :) +e * (} - }) 48 7 || F(s) = e-2s (s–2)² 1 3 +e-4s (s–2) (s–2) (8–2)² O F(») = e * (± + ?) +e-“ († + ±) (†+ i) , a+ (; + (; - ) 3 4s O F(8) = e* ( +:) + e-3*

Find the Laplace transform of the following function. (t+1)h(t – 2) + (t – 3)h(t – 4). F(s) 4 s2 O F(») = e * (± - !) +e * (; - ?) F(s) = e-2 (1 :) +e * (} - }) 48 7 || F(s) = e-2s (s–2)² 1 3 +e-4s (s–2) (s–2) (8–2)² O F(») = e * (± + ?) +e-“ († + ±) (†+ i) , a+ (; + (; - ) 3 4s O F(8) = e* ( +:) + e-3*

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 the following function. (t + 1)h(t – 2) + (t – 3)h(t – 4). O F(*) – + F(s) = 4 g2 O F(e) – e * (; - :) + e " (: - :) :) +e (; O F(s) = -2s -4s 1 7 82 F(s) = e -28 1 + -2) (s–2)? 1 (s–2)? +e-48 8–2) O F(s) : *(+ + :) + e * (; + ±) -2s = e 3 -48 1 82 O F(e) = e' ( +!) + e " ( - ) a+ (; +). :) +e * -3s 4
Transcribed Image Text:Find the Laplace transform of the following function. (t + 1)h(t – 2) + (t – 3)h(t – 4). O F(*) – + F(s) = 4 g2 O F(e) – e * (; - :) + e " (: - :) :) +e (; O F(s) = -2s -4s 1 7 82 F(s) = e -28 1 + -2) (s–2)? 1 (s–2)? +e-48 8–2) O F(s) : *(+ + :) + e * (; + ±) -2s = e 3 -48 1 82 O F(e) = e' ( +!) + e " ( - ) a+ (; +). :) +e * -3s 4
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