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

A

0

B

1

C

`-1`

D

`2m^(2)`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

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

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=cos(log x) , then x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y is equal to

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

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

If cos^(-1)x-"cos"^(-1)(y)/(2)=alpha , then 4x^(2)-4xy cos alpha+y^(2) is equal to :

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

If y=e^(tan x) , then cos^2 x(d^2y)/(dx^2) is equal to

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

If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to n(n-1)y (b) n(n+1)y n y (d) n^2y