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The point x = 0 is a regular singular point of the given differential equation. Find the equation for the indicial roots of the singularity. 4x²y"-xy' + (x² + 1)y=0 a. (r + 1)(4r + 1) = 0 b. (r-1)(3r-1)=0 (r - 1)(4r - 1) = 0 C. d. (r-1)(4r + 1) = 0

The point x = 0 is a regular singular point of the given differential equation. Find the equation for the indicial roots of the singularity. 4x²y"-xy' + (x² + 1)y=0 a. (r + 1)(4r + 1) = 0 b. (r-1)(3r-1)=0 (r - 1)(4r - 1) = 0 C. d. (r-1)(4r + 1) = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The point x = O is a regular singular point of the given differential equation. Find the equation for the indicial roots of the singularity. 4x²y" - xy + (x²+1)y=0 (r + 1)(4r + 1) = 0 (r-1)(3r-1) = 0 (r-1)(4r-1)=0 a. b. c. d. (r-1)(4r + 1) = 0
Transcribed Image Text:The point x = O is a regular singular point of the given differential equation. Find the equation for the indicial roots of the singularity. 4x²y" - xy + (x²+1)y=0 (r + 1)(4r + 1) = 0 (r-1)(3r-1) = 0 (r-1)(4r-1)=0 a. b. c. d. (r-1)(4r + 1) = 0
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