What is the Laplace Transform? @drpeyam

Uploaded September 2024 | Updated September 2026, 1 week ago

What is the Laplace Transform?

Here we define the Laplace transform, which is an operation that changes a function of time into a function of frequency. It is extremely useful in signal processing, similar to the Fourier transform, and we will see how we can use it to solve differential equations

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$Fourier Transform Example Fourier Transform Example Fourier transforms are hard!! Which is why it would be nice to have a concrete example of a Fourier transform, which we do precisely in this video. Here we calculate the Fourier transform of the Gaussian function e^-x^2 or exp(-x squared) and the beautiful result is that it is again a Gaussian! This self-similarity or fractal property will be crucial when well solve the heat equation using the Fourier transform What is the Fourier transform: https://youtu.be/o5jovJ4mkwI Subscribe to my channel: https://youtube.com/drpeyam Instagram: https://www.instagram.com/peyamstagram/ Teespring merch: https://dr-peyam.creator-spring.com/?$