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If y=((sin^(-1)x)^(2))/(2), then (1-x^(2...

If `y=((sin^(-1)x)^(2))/(2)`, then `(1-x^(2))y_(2)-xy_(1)=`

A

y

B

2y

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If y = sin(m sin^(-1)x) , then (1-x^(2))y_(2) - xy_(1) is equal to (Here, y_(n) denotes (d^(n)y)/(dx^(n)) )

    A
    `m^(2)y`
    B
    `-m^(2)y`
    C
    `2m^(2)y`
    D
    `-2m^(2)y`

  • If y = e^(sin^ [-1] x), then (1 - x^(2))y_(2) - xy_(1) =

    A
    0
    B
    1
    C
    y
    D
    2y

  • If y= (sin^(-1) 2x)^(2) + (cos^(-1) 2x)^(2) , then (1-4x^(2))y_(2) - 4xy_(1)=

    A
    0
    B
    4
    C
    16
    D
    12

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