Home
Class 12
MATHS
If sqrty=cos^-1x, then it satisfies the ...

If `sqrty=cos^-1x`, then it satisfies the dIfferential equation `(1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=c ` , where c is equal to

A

0

B

3

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions|19 Videos

  • DERIVATIVES

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS|22 Videos

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|1 Videos

Similar Questions

Explore conceptually related problems

Verify that y=e^(m cos^(-1)x) satisfies the differential equation (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-m^(2)y=0

If y=((1)/(2))^(n-1)cos(n cos^(-1)x), then prove that y satisfies the differential equation (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)+n^(2)y=0

Knowledge Check

  • Solution of the differential equation (dy)/(dx)+(2y)/(x)=0 , where y(1)=1 , is

    A
    `y=1//x^(2)`
    B
    `x=1//y^(2)`
    C
    `x=1//y`
    D
    `y=1//x`

  • Solution of the differential equation cos^(2)(x-y)(dy)/(dx)=1

    A
    y+tan(x-y)=c
    B
    `-y+tan(x-y)=c`
    C
    y+cot(x-y)=c
    D
    `-y+cot(x-y)=c`

  • Solution of differential equation y-x(dy)/(dx)=y^(2)+(dy)/(dx), when x=1,y=2, is

    A
    (1+x)(1-y)+y=0
    B
    (1+x)(1-y)-y=0
    C
    (1+x)(1+y)+y=0
    D
    (1+x)(1+y)-y=0

    • Similar Questions

    Explore conceptually related problems

    Solve the differential equation (x^(2)-1)(dy)/(dx)+2(x+2)y=2(x+1)

    Transform the differential equation (1-x^2)((d^2y)/(dx^2))=x(dy/dx) by substituting x=cos t.

    y = log x + c is a solution of the differential equation x(d^(2)y)/(dx^(2)) + (dy)/(dx) = 0

    If y=log(m cos ^(-1)x) is a solution of the differential equation (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)= ke^(-2y) , then k =

    The differential equation x((d^2y)/(dx^2))^3 + ("dy"/"dx")^4 y = x^2 is of

    Home
    Profile