Link to shortened 2-page pdf of Laplace
Transforms and Properties
| Property Name | Illustration |
|---|---|
| Definition |
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| Linearity |
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| First Derivative |
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| Second Derivative |
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| nth Derivative |
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| Integration |
 |
| Multiplication by time |
 |
| Time Shift |
 |
| Complex Shift |
 |
| Time Scaling |
 |
| Convolution ('*' denotes convolution of functions) |
 |
| Initial Value Theorem
(if F(s) is a strictly proper fraction) |
 |
| Final Value Theorem (if final value exists, e.g., decaying exponentials ) |
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