Home
Class 12
MATHS
Find the constant of intergration by the...

Find the constant of intergration by the general solution of the differential equation `(2x^(2)y-2y^(4))dx+(2x^(3)+3xy^(3))dy=0` if curve passes through (1,1).

Text Solution

Verified by Experts

The correct Answer is:
1
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|4 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Differential Equations Exerise 5 :|2 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation (x^(2)y^(2)-1)dy+2xy^(3)dx=0 is

Find the general solution of the differential equations: (x+3y^(2))(dx)/(dy)=y(y>0)

Knowledge Check

  • Solution of the differential equation (x^(2)+3xy+y^(2))dx-x^(2)dy=0 is

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

  • The solution of the differential equation ( 3xy +y^(2)) dx + (x^(2) +xy)dy = 0 is

    A
    `x^(2)(2xy+y^(2))=C^(2)`
    B
    `x^(2)(2xy-y^(2))=C^(2)`
    C
    `x^(2)(y^(2)-2xy)=C^(2)`
    D
    None of the above

  • Solution of the differential equation x^(2)y dy+(x^(3)+x^(2)y-2xy^(2)-y^(3))dx=0 is

    A
    `log|(y+x)/(x^(4)(y-x))|=(4x)/(x+xy)+c`
    B
    `log|(y-x)/(x^(4)(y+x))|=(4x)/(x+xy)+c`
    C
    `log|(y+x)/(x^(4)(y-x))|=(4x)/(x+y)+c`
    D
    `log|(y-x)/(x^(4)(y+x))|=(2x)/(x+y)+c`

    • Similar Questions

    Explore conceptually related problems

    Find the general solution of the differential equation sqrt(1+x^(2)+y^(2)+x^(2)y^(2))+xy(dy)/(dx) =0.

    Find the general solution of the differential equation (x + 2y^(3)) (dy)/(dx) =y, y ne 0

    The solution of the differential equation (dy)/(dx)=(3x^(2)y^(4)+2xy)/(x^(2)-2x^(3)y^(3)) is

    Solution of the differential equation (x+y-1)dx+(2x+2y-3)dy=0 is

    The solution of differential equation x^(2)y^(2)dy = (1-xy^(3))dx is

    Home
    Profile