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Question
If $$ y = \sin \left( m \sin ^ { - 1 } x \right) , $$ show that $$ \left( 1 - x ^ { 2 } \right) \frac { d ^ { 2 } y } { d x ^ { 2 } } - x \frac { d y } { d x } + m ^ { 2 } y = 0 $$
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