if y=sin(msin^(−1) x), prove that (1−x^2 )y_(n+2) −(2n+1)xy_(n+1) +(m^2 −n^2 )y


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Question Number 90679 by MWSuSon last updated on 25/Apr/20

$i f y = s i n (m \sin^{- 1} x), p r o v e t h a t (1 - x^{2}) y_{n + 2} - (2 n + 1) {x y}_{n + 1} + (m^{2} - n^{2}) y_{n} = 0$
Commented by MWSuSon last updated on 25/Apr/20

$u s i n g L e i b n i t z m e t h o d p l e a s e .$
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