Consider the hypergeometric equation (x(1-x) y^{prime prime}+[b-(2+b) x] y^{prime}-b y=0), where (b) is a constant larger than

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Consider the hypergeometric equation \(x(1-x) y^{\prime \prime}+[b-(2+b) x] y^{\prime}-b y=0\), where \(b\) is a constant larger than unity. Using a Frobenius method, show that the series solution about \(x=0\) is the geometric series such that \(y_{1}(x)=1+x+x^{2}+\ldots\)

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Advanced Mathematics For Engineering Students The Essential Toolbox

ISBN: 9780128236826

1st Edition

Authors: Brent J Lewis, Nihan Onder, E Nihan Onder, Andrew Prudil

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