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Find the Laplace transforms of the following functions: (a) (b) f(t)=esin 2t Y eisl => (x+) = S-x 5²+4 5² +42 [ {e³+sin(2+) = 2 g(t)=1³e²² 5² +4 x 5 = 3 ( {+³₂-2+) = (-1)³ ds (c) h(t) = e 2-t 0≤t≤2 otherwise (ds³.) 1 5+2

Find the Laplace transforms of the following functions: (a) (b) f(t)=esin 2t Y eisl => (x+) = S-x 5²+4 5² +42 [ {e³+sin(2+) = 2 g(t)=1³e²² 5² +4 x 5 = 3 ( {+³₂-2+) = (-1)³ ds (c) h(t) = e 2-t 0≤t≤2 otherwise (ds³.) 1 5+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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(a) f(t)=e³ sin 2t Find the Laplace transforms of the following functions: esl [ {e³+sin(2+) = 2 S-x => (y+) = Y 5²+12 5² +4 x 5 = 3 (b) 8(t) =1'e ( (+³₂-2+) = (-1)³ ¿ ³ =√2-1 0≤1≤2 (c) h(t)= otherwise (ds³) 1 5+2
Transcribed Image Text:(a) f(t)=e³ sin 2t Find the Laplace transforms of the following functions: esl [ {e³+sin(2+) = 2 S-x => (y+) = Y 5²+12 5² +4 x 5 = 3 (b) 8(t) =1'e ( (+³₂-2+) = (-1)³ ¿ ³ =√2-1 0≤1≤2 (c) h(t)= otherwise (ds³) 1 5+2
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