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Solve for the inverse laplace transform of the following functions a) R (s) = b) W (s) c) X(s) = s3-2s²+5s-9 s² (s+3)(s+1) 3s+10 s(s-8)(s-6)2 216 s4+5s3+15s²+45s+54

Solve for the inverse laplace transform of the following functions a) R (s) = b) W (s) c) X(s) = s3-2s²+5s-9 s² (s+3)(s+1) 3s+10 s(s-8)(s-6)2 216 s4+5s3+15s²+45s+54

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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Solve for the inverse la place transform of the following functions a) R (s) = b) W (s) c) X(s) = d) y(s) s3-2s²+5s-9 s² (s+3)(s+1) 3s+10 s(s-8)(s-6)² 216 s4+5s3+15s²+45s+54 2S-9 s(s²+10s+146) 16 e)"+ 2y = 48(t – 2π) ; y(0) = 3 and y'(0) = 0 f).y" + 4y = g(x) y(0) = 3 and y'(0) = 0 where g(x) g).y" + 4y' = cos(t - 3) + 4t, y(3) = 0, y'(3) = 7 0 < x < 1 1 < x < 2 x > 2
Transcribed Image Text:Solve for the inverse la place transform of the following functions a) R (s) = b) W (s) c) X(s) = d) y(s) s3-2s²+5s-9 s² (s+3)(s+1) 3s+10 s(s-8)(s-6)² 216 s4+5s3+15s²+45s+54 2S-9 s(s²+10s+146) 16 e)"+ 2y = 48(t – 2π) ; y(0) = 3 and y'(0) = 0 f).y" + 4y = g(x) y(0) = 3 and y'(0) = 0 where g(x) g).y" + 4y' = cos(t - 3) + 4t, y(3) = 0, y'(3) = 7 0 < x < 1 1 < x < 2 x > 2
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