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N.B: The differential equation is:

[tex] (1-x^2)~ \frac{\partial ^2 F(x,y)}{\partial x}+\left(\frac{1-2x^2}{x}\right)~\frac{\partial F(x,y)}{\partial x}-\left[ax^2(1-2y^2)-c\right] F(x,y)=0 [/tex]

where x and y are the variables and a and c are constants