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i1. L'[s/(s² +a)*]= (1/2a) t sin at 12, L' [1/(s² + a?)² = (1/2a) (sin at – at cos at) %3D

i1. L'[s/(s² +a)*]= (1/2a) t sin at 12, L' [1/(s² + a?)² = (1/2a) (sin at – at cos at) %3D

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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Inverse Laplace

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6. L' [s/(s° + a²}=cos at 7. L-' [1/(s – a°)] = (1/a) sinh at 8. L' [s/(s – a)] = cosh at 9. L-' [1/(s - a) + b³] = (1/b) et sin bt 10. L [(s - a)/(s – a) + b³] = e cos bt i1. L' [s/(s² + a®Y] = (1/2a) t sin at 12, L [1/(s² + a²)² = (1/2a) (sin at – at cos at)
Transcribed Image Text:6. L' [s/(s° + a²}=cos at 7. L-' [1/(s – a°)] = (1/a) sinh at 8. L' [s/(s – a)] = cosh at 9. L-' [1/(s - a) + b³] = (1/b) et sin bt 10. L [(s - a)/(s – a) + b³] = e cos bt i1. L' [s/(s² + a®Y] = (1/2a) t sin at 12, L [1/(s² + a²)² = (1/2a) (sin at – at cos at)
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