Linearize a Differential Equation

[saitohasegawa]

Thank you!! Your explanation made it so much simpler for me to grasp

[bachircherafeddinebenhacin]

Thank you for the video, very well explained !!. Could you Please do an example of how to approximate the solution of a nonlinear Differential Equation using 2nd order polynomials (or using any given order of accuracy)?

[meghnagoyal]

Hi, thanks for the video. I did not understand why f(x) is written as f(xo) + df/dx [the first step basically, where this value is plugged into the first equation dx/dt = f(x).

[dume]

dx/dt=x would already be linear so there would be no need to do this correct?

[AyaAya-fhwx]

Many thanks for your work!!! Great video

[fatmas]

Thanks so much for your explanation ..

[samardeepsinghsarna]

What exactly is z storing, why is it a 2x2 matrix? How are dimensions of x1 x2 related to z?

[gilpeleg]

Thank you very much, very well explained

[mariahanif]

how we linearized non linear partial differential equation

[samardeepsinghsarna]

Dimension of x1 and x2 is equal to z or equal to t?

[abidalrk]

You forgot to mention that the linearized equation is in the neighborhood of x0

[johnkurtanidze]

This is a multivariable equation example you showed, not a diff eq smh