Form the differential equation having y=...

Form the differential equation having `y=(sin^(-1)x)^2+Acos^(-1)x+B`
,where `A` and `B` are arbitrary constants, as its general solution.

A

(a) `(1-x^2)(d^2y)/(dx^2) + x"dy"/"dx"=2 `

B

(b) `(1-x^2)(d^2y)/(dx^2) - x"dy"/"dx"=2 `

C

(c) `(1-x^2)(d^2y)/(dx^2) + x"dy"/"dx"=2y `

D

(d) None of these

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The correct Answer is:

B

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