Differential Equations and exp (At) | MIT 18.06SC Linear Algebra, Fall 2011

Differential Equations and exp (At)
Instructor: Linan Chen
View the complete course: http://ocw.mit.edu/18-06SCF11

License: Creative Commons BY-NC-SA
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[kstahmer]

This is a good video.

It should be pointed out, “the choice for c1, c2 and c3 is completely arbitrary” if there’s no initial condition specified for y(0), y’(0) and y’’(0). Otherwise, c1, c2 and c3 are uniquely determined by the differential equation’s initial condition.

[arillinoming]

11:32

[maldonado2100]

We kind of did a short review about metrices in calculus 3

[javierma36]

Hello all

Edward and Penny Book "Elementary Differential Equation". In section 5.7 they introduce the exponential matrix. I find the eigenvalue and associated eigenvector according to their methodology. However, when I compare the results with Matlab I find different Eigenvectors. The relation (A-lamda*I)v=0 is closer to zero with the eigenvector of Matlab. What consequences exist if you work with a eigenvector that did no minimize (optimal) the previous equation?

Thanks

[Erwin Schrodinger]

7:46 must be the zero vector!

[banxi1988]

我也这么认识，I think so!; me too

[rhoadess]

Cute! The use of linear algebra to solve differential equations, is truly clever.

[Amit Kumar]

nice chinese girl

[drewpasttenseofdraw]

Matrix exponential and Diff Eqs.

Matrix exponentials imply Lie Algebras per wiki.

Oooh, vast gaps exist in my understanding of the maffs.