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

If `y =(sin^(-1) x)^2`, prove that
`(1-x^2)y_2 - xy_1 - 2 = 0`

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If 2y=x(1+(dy)/(dx)), then show that y(2) is a constant.
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If y = ax sin x show that x^2y2 - 2xy1 + (x^2 + 2)y = 0
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If y =(sin^(-1) x)^2, prove that (1-x^2)y2 - xy1 - 2 = 0
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If x=4z^(2)+5 and y=6z^(2)+7z+3, then find (d^(2)y)/(dx^(2))
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If x=sint ,y=sinp t ,"p r o v et h a t" (1-x^2)(d^2y)/(dx^2)-x(dy)/...
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If y^(1//m)+y^(-1//m)=2x, then prove that (x^(2)-1)y(2)+xy(1)=m^(2)y^(...
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