Home
Class 12
MATHS
A differential equation of the form dy/d...

A differential equation of the form `dy/dx+Py=Q` is said to be a linear differential equation. Integrating factor of this differential equation is `e^(intPdx)` and its solution is given by `y.e^(int Pdx)=int (Qe^(int Pdx))dx+c`. Answer the question:Solution of differential equation `(1+y^2)dx+(x-e^(-tan^-1y)dy=0` is (A) `y=tan^-1x+c` (B) `ye^(tan^-1x)=tan^-1x+c` (C) `xe^(tan^-1y)=tan^-1y+c` (D) none of these

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

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

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

Knowledge Check

  • The integrating factor of the differential equation (dy)/(dx) + y = (1+y)/(x) is

    A
    `(x)/(e^(x))`
    B
    `(e^(x))/(x)`
    C
    `x e^(x)`
    D
    `e^(x)`

    • Similar Questions

    Explore conceptually related problems

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

    The integrating factor of differential equation (dy)/(dx)+y tan x -sec x =0 is

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

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

    Solution of the differential equation y(a x y+e^x)dx-e^x dy=0 where y(0)=1 is

    The integrating factor of differential equation (dy)/(dx)+y=(1+y)/(x)"is"

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

    Home
    Profile