Fundamentals of Modern Electric Circuit Analysis and Filter Synthesis by Afshin Izadian

Author:Afshin Izadian
Language: eng
Format: epub
ISBN: 9783030024840
Publisher: Springer International Publishing

Example 7.30

Find L{e −5t u(t)} = ?

Solution

The exponential e −5t triggers a shift in frequency over the by s → s+5. This results in:

Example 7.31

Find L{e −5t sin 3t} = ?

Solution

The exponential e −5t triggers a shift in frequency over the by s → s+5. This results in:

Example 7.32

Find L{e −2t cosh t u(t − 5)} = ?

Solution

Only one part of the function is shifted by 5 s. The rest should be manually shifted as follows:

Laplace transform of f(t) becomes:

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