Question: 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,

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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Let z x Also z x and 24 x Using the chain rule for 4xy 4xy xny0 yields 2d dy ... View full answer

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