How do I solve the Schrodinger wave equation with a differential equation?

vmercel
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in solving the schrodinger wave equation, there arises this differential equation

(d^2/dx^2) ψ + (1/x) (d/dx )ψ + (a/x)ψ + (b/x^2)ψ + cψ = 0

Please any leads on how to solve this equation will be highly appreciated.
 
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