Frobenius power series repeated roots

John777

Could someone please explain the y₂ solution for repeated roots in Frobenius method where y₂=y₁lnx+x^s [tex]\Sigma[/tex] C_nxⁿ

I am struggling to figure out how to solve this

matematikawan

For a solution about a regular singular point x=0, look at simplest case first in the form of Euler-Cauchy equation
[tex]x^2y''+\alpha xy'+\beta y=0 [/tex]

when the indicial root is a double root.

Similar Threads for: Frobenius power series repeated roots
Thread	Forum	Replies
Power series when to use Frobenius method	Differential Equations	5
Diff EQs: Power Series vs Frobenius Solutions: Difference?	Calculus & Beyond Homework	1
Can you find Roots With The Power Series Inverse?	General Math	0
The Method of Frobenius - Find roots of indicial EQ and 1st terms of series solution	Calculus & Beyond Homework	1
repeated roots	Calculus & Beyond Homework	2

John777	Frobenius power series repeated roots Tweet Could someone please explain the y₂ solution for repeated roots in Frobenius method where y₂=y₁lnx+x^s [tex]\Sigma[/tex] C_nxⁿ I am struggling to figure out how to solve this

matematikawan	For a solution about a regular singular point x=0, look at simplest case first in the form of Euler-Cauchy equation [tex]x^2y''+\alpha xy'+\beta y=0 [/tex] when the indicial root is a double root.