• 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.

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

• 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

• 7:46 must be the zero vector!﻿

• 我也这么认识，I think so!; me too﻿

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

• nice﻿ chinese girl

• Matrix exponential and Diff Eqs.

Matrix exponentials imply Lie Algebras per wiki.

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