Update Content - 2022-03-17

content/zettels/laplace_transform.md

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+title = "Laplace Transform"
+author = ["Dehaeze Thomas"]
+draft = false
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+
+Tags
+: [Continuous Transfer Functions]({{< relref "continuous_transfer_functions.md" >}})
+
+
+## Definition {#definition}
+
+Laplace transform:
+
+\begin{equation}
+\boxed{F(s) = \mathcal{L}{f(t)} = \int\_0^\infty e^{-st} f(t) dt}
+\end{equation}
+
+
+## Laplace transform of signals {#laplace-transform-of-signals}
+
+<https://en.wikipedia.org/wiki/List_of_Laplace_transforms>
+
+
+## Laplace transform of functions {#laplace-transform-of-functions}
+
+<https://en.wikibooks.org/wiki/Signals_and_Systems/Table_of_Laplace_Transforms>
+
+
+## Solving Linear Differential equations {#solving-linear-differential-equations}
+
+
+### Mechanical System {#mechanical-system}
+
+
+### Electrical System {#electrical-system}