Home
Class 12
MATHS
The solution of the differential equatio...

The solution of the differential equation `(1+y^2)+(x-e^(tan^-1y))dy/dx=0` is (A) `x e^(2 tan^-1y)=e^(tan^-1y)+k` (B) `(x-2)=k e^(-tan^-1y)` (C) ` x e^(tan^-1y)=e^(2 tan^-1y)+k` (D) `x e^(tan^-1y)=tan^-1y+k`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

The solution of the differential equation (1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x) is :

The solution of the differential equation (1+y^2)+(xe^(tan^-1)y) (dy)/(dx)=0, is (1) (x-2)=ke^(tan^) -1y) (2) 2xe^(2tan^-1y) =e^(2tan^-1y)+k (3) xe^(tan^-1y)=tan^-1y+k (4) xe^(2tan ^-1y)=e^(tan^-1y)+k

Knowledge Check

  • The solution of the differential equations (1+y^2)+(x-e^(tan^(-1)y))(dy)/(dx)=0 is

    A
    `2xe^(tan^(-1)y)=e^(2tan^(-1)y)+k`
    B
    `xe^(tan^(-1)y)=tan^(-1)y+k`
    C
    `xe^(2tan^(-1)y)=e^(tan^(-1)y)+k`
    D
    `(x-2)=ke^(-tan^(-1)y)`

  • The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy)/(dx)=0 , is

    A
    `2xe^(tan^(-1)y)=e^(2tan^(-1)y)+k`
    B
    `2xe^(tan^(-1)y)=e^(tan^(-1)y)+k`
    C
    `xe^(tan^(-1)y)=e^(tan^(-1)y)+k`
    D
    `xe^(tan^(-1)y)`

  • Solution of the differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy)/(dx)=0 is :

    A
    `(x-2)=ke^(-tan^(-1)y)`
    B
    `2x e^(tan^(-1)y)=e^(2tan^(-1)y)+k`
    C
    `x e^(tan^(-1)y)=tan^(-1)y+k`
    D
    `x e^(2tan^(-1)y)=e^(tan^(-1)y)+k`

    • Similar Questions

    Explore conceptually related problems

    The solution of differential equation (1+y^(2))+((x-2e^(tan^(-1)y))dy)/(dx)=0 is (x-2)=ke^(tan^(-1)y)xe^(tan-1)y=e^(2)tan^(-4)y+kxe^(tan^(-1)y)=tan^(-1)y+kxe^(2tan^(-1)y)=e^(2tan^(-1)y)+k

    The solution of the differential equation (1+y^(2)) dx + (x-e^(-tan^(-1)y) dy = 0 is

    The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y dx=0 is

    The solution of differential equation (1+x^(2)) (dy)/(dx) + y = e^(tan^(-1)x)

    The solution of the differential equation (1+y^(2)) tan^(-1) x dx + y(1+x^(2)) dy = 0 is

    Home
    Profile