If `y=(sin^-1x)^2/2,then(1-x^2)y_2-xy_1`=

A

(a) `y`

B

(b) `2y`

C

(c) `1`

D

(d) `2`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

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

If y=e^(m cos^(-1)x) , then (1-x^(2))y_(2)-xy_(1)-m^(2)y is equal to

If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(dx) is equal to

If y= e^(m sin ^(-1)x) and (1-x^(2))((dy)/(dx))^(2)= Ay^(2). then A =

If y=sin^(-1)((1-x^2)/(1+x^2)) , then (dy)/(dx)=

If y=sin^(-1)((2x)/(1+x^2))+sec^(-1)((1+x^2)/(1-x^2)),-1 Prove that (dy)/(dx)=4/(1+x^2)

If y= ( tan^(-1) x)^2 , show that (1+ x^2 )( d^2 y)/(d x^2 ) + 2x(1+ x^2 ) (dy/dx) -2 = 0

If y= cos (m sin^(-1) x), show that (1- x^2 )( d^2 y)/(d x^2 ) - x(dy/dx) + m^2 y = 0

If 2y=sin^-1(x+5y),then,(dy)/(dx) is equal to