38)
A similar method of solution can be used for matrix equations of the first order, too
그리고 caltech 2004 ACM95b/100b 강의 노트를 참고했습니다 프로베니우스 방법 으로
So a generalized series solution gives two In the book it says Legendre's equation may be solved with Frobenius method and before that it says Frobenius method can be applied if x=0 is a regular singular point
x = ±1 x = ± 1 are order 1 1 poles of the coefficient function of y′ y ′ and also order 1 1 poles of the coefficient function of y y
Regular Singular Point
With two regular The wisdom here is to use (x-x₀)ˢ to catch up the singular or non-analytic behavior of y(x) at the regular singular point x₀ and the number s is called the indicial exponent and is to be determined when we solve the differential equation
Note that (6
We first detail the Frobenius method and then solve a few examples to illustrate the method
Below is part 2 of a video on the method of Frobenius
Ignoring the singular point would be like deciding to ignore black holes in the study astronomy because most of space is not a black hole
11 for each Frobenius solution, with M = 20 and δ = 3, 6, 9, and 12 in the verification procedure described at the end of this section