The Frobenius Method - Ordinary Differential Equations | Lecture 28

In this lecture we introduce the Frobenius method for obtaining series solutions to second order ODEs centred about a regular singular point. We demonstrate that there is a close correspondence with what we learned in the previous lecture on Euler equations. In particular, the resulting power series is slightly different than what we might be used to, coming from the singularity of the points we are centring the series about. We now much identify the coefficients in the series, but also the "exponents at infinity" which come from a characteristic, or indicial, equation that is related to our work in Euler equations. We illustrate the method with a detailed example that comprises much of this lecture.

This course is taught by Jason Bramburger for Concordia University.

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[yousefn]

Bro bravoooo👌
I just wanted to know how to get y(2) and now i get it.
Thanks

[slythion]

I have a question considering the 19:00 equations. Before (ordinary points) when we were formulating the y' and y'', we got series starting from n=1 and respectively n=2. Why in that case both of them are starting from 0 just as y(x) ?

[ivanbaranoff]

where did x^r dissaper after you computed the partial sum on the 22:01?