Nonlinear ODE

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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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Watching this, and actually understanding what this is about, but still working in an entry level tier job after decades as a professional - that might be very definition of a failed career

oniondeluxe
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It's always great to have your fascinating videos, Dr. Peyam.

marcelob.
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Wow great timing for me. Just started research in stochastic differential equations.

jamesbentonticer
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I thought you were going to solve it, then realised no way it has an elementary solution 😂

edmundwoolliams
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Can you please make another video on convolutions❤️

shieldmytears
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Dr peyam, how to check for the stability if the non-trivial equilibria is very long and basically can't write it down on the paper?

ajiwibowo
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That is some non-standard notation for vectors if I've ever seen it...

benburdick
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At 5:50 explain how u derived simplifying those 2 seperate situations! Such as -Sin (x). & 2 !
Basically top bracket to bottom bracket

alanthayer