Home
Class 12
MATHS
Solution of differential equation (dy)/(...

Solution of differential equation `(dy)/(dx)=(yf'(x)-y^(2))/(f(x))` is equal to

A

`xy=f(x)+c`

B

`xy=f(x)+cx`

C

`y(x+c)=f(x)`

D

`y=f(x)+x+c`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise Problem Set (1) (TRUE AND FALSE)|8 Videos

  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS)|9 Videos

  • DETERMINANTS

    ML KHANNA|Exercise Self Assessment Test |19 Videos

  • DIFFERENTIATION

    ML KHANNA|Exercise MESCELLANEOUS EXERCISE|3 Videos

Similar Questions

Explore conceptually related problems

Solution of differential equation: x(dy)/(dx)+y=x^(4)

solution of differential equation (dy)/(dx)=(x+e^(x))/(y)

Knowledge Check

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

    A
    `y=log x + x^2/2 +a `
    B
    `y=x^3/3 +a/x`
    C
    `y=x^2+ax`
    D
    None of these

  • Solution of differential equation (dy)/(dx) = (2)/(x+y) is

    A
    `x+y+2 = ke^(y//2)`
    B
    `x-y + 2 = ke^(y//2)`
    C
    `x + y +2 = ke^(-y//2)`
    D
    `x-y+2 = ke^(-y//2)`

  • Solution of the differential equation (dy)/(dx)=x^(2)y+y is

    A
    `log|y|=(1)/(2)x^(2)-x+c`
    B
    `log|y|=(1)/(2)x^(2)+x+c`
    C
    `log|y|=(1)/(3)x^(2)-x+c`
    D
    `log|y|=(1)/(3)x^(2)+x+c`

    • Similar Questions

    Explore conceptually related problems

    solution of the differential equation (dx)/(x)=(dy)/(y)

    The solution of differential equation x(dy)/(dx)=y is :

    Solve: (dy)/(dx) = (yf^(')(x)-y^(2))/(f(x))

    Solution of the differential equation (dy)/(dx)=(x-y)/(x+y) is

    Solution of the differential equation (dy)/(dx)+(y)/(x)=x^(2) is

    Home
    Profile