Solving a Linear 3-Variable System of Differential Equations - Example

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Step-by-step process of solving a homogeneous linear system of differential equations in 3 variables using the characteristic equation, eigenvalues, and eigenvectors.

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Please, NEVER die! Your explanations are detailed and thorough, and this helps cover the gaps in understanding the material. Thank you!

Sam-yxhj

Thank you for the thorough example. If you had initial conditions, say x(0)=1, y(0)=1, z(0)=0, how would you use that to solve for the c1, c2, and c3 constants?

billyoung

what would happen if getting repeated eigenvalues and also if getting complex eigenvalues?

samkeloinnocent

Expanding on the second row is much easier. Great explanation as usual!

marcoberardini

Thanks just what I was looking for. It would also be good if you could make a similar one with non homogeneous terms.

BigGutC

You're the best! Thank you for this invaluable course!

hamedhilal

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