(b) Verify F(1,1; 2; x) = –x-'ln(1 – x) By expanding each function in a power series about x = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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do b

(a) Express a general solution to
2x(1 – x)y" + (3 – 10x)y' – 6y = 0
|
Using Gaussian hypergeometric functions.
(b) Verify
F(1,1; 2; x) = -x-1ln(1 – x)
By expanding each function in a power series about x = 0.
Transcribed Image Text:(a) Express a general solution to 2x(1 – x)y" + (3 – 10x)y' – 6y = 0 | Using Gaussian hypergeometric functions. (b) Verify F(1,1; 2; x) = -x-1ln(1 – x) By expanding each function in a power series about x = 0.
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