ODE :: xy'' + y' +2xy = 0 :: Method of Frobenius Series Solution about a Regular Singular Point
Автор: Jonathan Walters
Загружено: 2019-04-26
Просмотров: 168129
In this video we apply the method of Frobenius to solve a differential equation
xy'' + y' + 2xy = 0
with a power series expanded about the regular singular point x=0.
We find a repeated indicial root, and a recurrence relation that has terms staggered by two. We also find that c1 = 0 making all odd coefficients, then, equal zero.
Thus, the series solution we find here only has even exponents.
------------------
My name is Jonathan, and differential equations are one of the most useful and exciting applications of mathematics. I hope this video helps bring to light some of the techniques involved with the method of Frobenius for finding a power series solutions expanded about a regular singular point.
Thanks for watching!
Доступные форматы для скачивания:
Скачать видео mp4
-
Информация по загрузке:
