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If y= sin (2 sin^-1 x), prove that: (1 -...

If `y= sin (2 sin^-1 x)`, prove that: `(1 - x^2 ) (d^2y/dx^2) - x(dy/dx) + 4y = 0`.

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The correct Answer is:
`(1 - x^2) (d^2 y)/(dx^2) - x(dy)/(dx) + 4y = 0`
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