by using the Frobinus method solve the deffrentional equation xy^(′′) −2pxy^′ +(p(p+1)+b^2 x^2 )y=0 and give for example for this when p=1,b=2 such that (p,b) be areal number ?


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Question Number 103869 by mohammad17 last updated on 17/Jul/20

$b y u s i n g t h e F r o b i n u s m e t h o d s o l v e t h e d e f f r e n t i o n a l e q u a t i o n$ ${x y}^{^{″}} - 2 {p x y}^{^{'}} + (p (p + 1) + b^{2} x^{2}) y = 0$ $a n d g i v e f o r e x a m p l e f o r t h i s w h e n p = 1, b = 2$ $s u c h t h a t (p, b) b e a r e a l n u m b e r ?$
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