1. L" [1/(s - a?)] = (1/a) sinh at 9. L' [1/s - a) + b] = (1/b) e sin bt 10. L' [(s - a)/(s - a)? + b'] = e" cos bt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1.
L-' [1/(s - a?)] = (1/a) sinh at
9.
L' (1/(s - a)? + b] = (1/b) e" sin bt
10. L' [(s - a)/(s – a)? + b'] = e" cos bt
H1. L' [s/(s? + a²)*] = (1/2a) t sin at
12, L [1/(s + a?) = (1/2a) (sin at – at cos at)
Transcribed Image Text:1. L-' [1/(s - a?)] = (1/a) sinh at 9. L' (1/(s - a)? + b] = (1/b) e" sin bt 10. L' [(s - a)/(s – a)? + b'] = e" cos bt H1. L' [s/(s? + a²)*] = (1/2a) t sin at 12, L [1/(s + a?) = (1/2a) (sin at – at cos at)
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