ODE | Repeated eigenvalues explanation and example

An example of a linear differential equation with a repeated eigenvalue. In this scenario, the typical solution technique does not work, and we explain how fix the problem.

[@teamcowgill]

I am not religious but thank God for videos like this!

[@flyingbirds6794]

I think there are not very much videos like this in CZcams. Thank you so much, very well explained and you satisfied my intuitions.I'll subscribe.

[@bilgekyran9902]

the satisfaction of understanding that is, is... thank you

[@mishudhar3746]

thanks a lot for the video. It really helped me to understand.

[@korganrivera4659]

So do you have a video where you explain where the 2nd Ansatz comes from? Every time someone explains this stuff online, as far as I've found so far, they skip over this part.

[@profesorjan7614]

Same here, have you found anything useful?

[@nvfpv]

What if we need a general solution? Where do those constants go in the formula???

[@tarubewildin6931]

Perfect

[@ozgurertenoglu]

what if the repeated roots are 3 what would be our solution is it Y(t)=e^(eugenvalue*t) (uA1+wtA2+zt^2A3) where A1,A2,A3 are eugen vectors

[@gasmiboubekeur5089]

what happen if we have zero repeated eigenalues? thanks in advance

[@HL-iw1du]

yes

[@rlhugh]

This video seems not to fit in with the other videos of this series, and assumes a bunch of knowledge not assumed in the other videos.