In 31 and 32, x = 0 is a regular singular point of the
Chapter 6, Problem 31E(choose chapter or problem)
In Problems 31 and 32, x = 0 is a regular singular point of the given differential equation. Show that the indicial roots of the singularity differ by an integer. Use the recurrence relation found by the method of Frobenius first with the larger root \(r_{1}\). How many solutions did you find? Next use the recurrence relation with the smaller root \(r_{2}\). How many solutions did you find?
\(x y^{\prime \prime}+(x-6) y^{\prime}-3 y=0\)
Text Transcription:
r_1
r_2
xy^prime\prime+(x-6)y^prime-3y=0
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