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Find the inverse laplace of S F (s) = (s² + a²) (s² + b²) consider a + b², ab # 0 iswer cos at – cos bt O f (t) = b2 – a? b sin at + a sin bt O f (t) = ab (b² – a² ) ered a sin at – b sin bt f (t) = a? – b2 b sin at – a sin bt O f (1) = ab (b² – a² ) cos at + cos bt O f (1) = b² – a² a sin at + b sin bt O f (t) = a? – b2

Find the inverse laplace of S F (s) = (s² + a²) (s² + b²) consider a + b², ab # 0 iswer cos at – cos bt O f (t) = b2 – a? b sin at + a sin bt O f (t) = ab (b² – a² ) ered a sin at – b sin bt f (t) = a? – b2 b sin at – a sin bt O f (1) = ab (b² – a² ) cos at + cos bt O f (1) = b² – a² a sin at + b sin bt O f (t) = a? – b2

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 inverse laplace of S F (s) (s2 + a²) (s² + b²) consider a² + b?, ab # 0 iswer cos at – cos bt O f (t) = b² – a² b sin at + a sin bt O f (t) = ab (b² – a²) ered a sin at – b sin bt f (t) a? – b2 b sin at - a sin bt O f (t) = ab (b² – a² ) cos at + cos bt O f (t) = b² – a² a sin at + b sin bt O f (t) = a² – b²
Transcribed Image Text:Find the inverse laplace of S F (s) (s2 + a²) (s² + b²) consider a² + b?, ab # 0 iswer cos at – cos bt O f (t) = b² – a² b sin at + a sin bt O f (t) = ab (b² – a²) ered a sin at – b sin bt f (t) a? – b2 b sin at - a sin bt O f (t) = ab (b² – a² ) cos at + cos bt O f (t) = b² – a² a sin at + b sin bt O f (t) = a² – b²
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