3. For each of the transforms G(s), • express the inverse transform, g(t) = L¯' {G(s)}, in terms of unit step functions; • represent g(t) in the usual format for a piecewise function and sketch its graph. -4 (a) G(s) = 53 4 4 4 2л 2л -5s (b) G(s) = s2 s2 s² + x²/4° s² + n² /4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. For each of the transforms G(s),
• express the inverse transform, g(t) = L¯' {G(s)}, in terms of unit step functions;
• represent g(t) in the usual format for a piecewise function and sketch its graph.
-4
(a) G(s) =
s3
4
+
s2
4
4
2л
2л
-2s
-5s
(b) G(s) =
s2
s2 + n²/4
s2 + n²/4
Transcribed Image Text:3. For each of the transforms G(s), • express the inverse transform, g(t) = L¯' {G(s)}, in terms of unit step functions; • represent g(t) in the usual format for a piecewise function and sketch its graph. -4 (a) G(s) = s3 4 + s2 4 4 2л 2л -2s -5s (b) G(s) = s2 s2 + n²/4 s2 + n²/4
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