How to tell Linear from Non-linear ODE/PDEs (including Semi-linear, Quasi-linear, Fully Nonlinear)

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Explains the Linear vs Non-linear classification for ODEs and PDEs, and also explains the various shades of non-linearity: Almost linear/Semi-linear, Quasilinear, Fully Nonlinear
  1. quantpie
  2. ODEs linear vs non-linear
  3. PDEs linear vs non-linear
  4. Almost linear/Semi-linear
  5. Quasilinear
  6. Fully Nonlinear differential equations
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Комментарии
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after an hour of searching on google and reading so many different definitions, i finally understand what a quasi linear equation is thanks to your video!! so well explained, thank you!

danieljames
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Really like these kind of introductory videos! Bridging the gap between calc3 + basic stats to stochastic processes/calculus is something very few do on YT! :)

sindbadthesailor
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Awesome visual explanations!!
Thank you so so much!

AbuSayed-ervs
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Thanks for this helpful video! I'm leaving a comment because I have something I'm curious about. I know that the separable partial differential equation is part of the quasilinear partial differential equation, but what are some of the quasilinear partial differential equation except for the separable partial differential equation?

한도현-gc
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Thanks for this so helpful video! So, for the exercise, Heston model is linear and local stochastic vol model is fully non-linear. Is my guess correct? Thanks for your great video series again!

kier_kier
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Why is the local stochastic volatility model fully non-linear but not quasilinear? Thank you!

HungDuong-dtlg
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what is an example of a semilinear pde?

papermajo