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s (s² + 7k²) Show that L{cos³ kt} = (s² + k²) (s² +9k²) HINT: you may use the identity cos a cos b = cos(a - b) cos(a + b) 2

s (s² + 7k²) Show that L{cos³ kt} = (s² + k²) (s² +9k²) HINT: you may use the identity cos a cos b = cos(a - b) cos(a + b) 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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S s (s² + 7k²) Show that L{cos" kt} (s²+k2) (s2 +9k²) HINT: you may use the identity cos a cos b = = cos(a - b) cos(a + b) 2
Transcribed Image Text:S s (s² + 7k²) Show that L{cos" kt} (s²+k2) (s2 +9k²) HINT: you may use the identity cos a cos b = = cos(a - b) cos(a + b) 2
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