I need to solve the following differential equation:
$$u'' + \frac{1}{x}\left(1 + \frac{1}{\log x}\right)u' + \left(1 - \frac{n^2}{x^2}\right)u = 0.$$
It is similar to the Bessel equation but the term $\frac{1}{x\log x}$ with $u'$.
I intend to transfer it to Bessel equation by some substitution but I have no idea.
Thank you very much for your help.
2026-03-30 17:13:13.1774890793
An ordinary differential equation similar to Bessel Equation
36 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ORDINARY-DIFFERENTIAL-EQUATIONS
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