Nonlinear ODE @drpeyam

Uploaded October 2024 | Updated September 2026, 1 week ago

Nonlinear Systems

We introduce the concept of nonlinear systems of ode, which are infinitely harder but also infinitely more interesting. In particular, we will see some really cool applications (see playlist) covering ecology and epidemiology. Here we start by stating the basic existence and uniqueness theorem for nonlinear systems

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Can you simplify this cubic cosh formula?

awesome exponential trig double factorial integral

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