Find a general solution, in terms of Bessel functions, for the differential equation (4 x^{2} y^{prime prime}+4

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Find a general solution, in terms of Bessel functions, for the differential equation \(4 x^{2} y^{\prime \prime}+4 x y^{\prime}+\left(x-n^{2}ight) y=0\), where \(n\) is an integer, by using either the substitution or the generalized form for the solution of the Bessel equation. What is the solution that satisfies the condition \(|y(0)|<\infty\) ?

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Related Book For  answer-question

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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