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Im trying to solve this second order differential equation:

\begin{equation*}

-\dfrac{d^2y}{dx^2}+\dfrac{3}{x}\dfrac{dy}{dx}+(x^2+gx^4+2)y=0

\end{equation*}

Any idea?

Maybe it could be converted to a Bessel-like equation (?) with an appropriate change of variables.

The equation arises when your are considering a -2 dimensional (yes!, its correct: "Negative dimension") anhamonic oscillator.

Thanks!

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# A Second Order Differential equation Bessel-type

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