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I was wondering if someone, a smart person, can tell me how to transform the following equations (see below) into the well-known Hypergeometric equations. I know that this can be done provided The Mathematica does it, but I need to know the specific rules of transformation: Case 1:
(x^2)*(x+b)f,xx -bxf,x = (a+dx)f
case 2 (x^2)*(x+b)f,xx +(x^2)f,x = (a+dx)f
where b can be positive or negative while a and d are positive.
Thank you for any help that you can provide to this fellow in need. G.W