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We were introduced to Laplace transforms in my ODE class a few days ago, so naturally I went online to try to figure out what this transform actually is, rather than being satisfied with being able to compute simple Laplace transforms.

The Wikipedia page for the transform says it takes the input from the "time domain" into the "frequency domain" where the argument is now a complex angular frequency in radians per unit time.

The page also says the Laplace transform resolves a function into its moments.

If someone could use the very simple example of the Laplace transform of1becoming1/sto explain what is meant by both the time domain to complex frequency domain transform and also to explain what it means to resolve a function into into its moments, It would absolutely make my day. Thank you so much for your time,

-Lee

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# Laplace transform interpretation

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