Home
Class 12
MATHS
Let y(x) be a solution of xdy+ydx+y^(2)(...

Let y(x) be a solution of `xdy+ydx+y^(2)(xdy-ydx)=0` satsfying y(1)=1
Statement -I : The range of y(x) has exactly two points.
Statement0-II : The constant of integration is zero.

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise D COMPREHENSION TYPE|6 Videos

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion -Reason Type )|2 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for competitive Exams ( E Assertion-Reason Type )|1 Videos

Similar Questions

Explore conceptually related problems

Find the particular solution of y^(2)(xdy+ydx)+xdy-ydx=0

Let y be the solution of the differential equation x(dy)/(dx)=(y^(2))/(1-y log x) satisfying y(1)=1 then y satisfies

Knowledge Check

  • Let y(x) be a solution of (1+x^2)"" (dy)/(dx)+2xy-4x^2=0 and y(0)=-1 . Then y(1) is equal to

    A
    `(1)/(2)`
    B
    `(1)/(3)`
    C
    `(1)/(6)`
    D
    `-1`

    • Similar Questions

    Explore conceptually related problems

    Find the particular solution of ydx+xdy=xy(dy-dx), given y=1 when x=1

    The general solution of the equation ydx+(x+cos y)dy=0 is

    Let x dy/dx + y -e^(x) =0 , y (a) = b. Statement - I , The solution is given by xy = e^(x) + ab -e^(a). Statement - II , the given equation is a linear function with integrating factor x.

    Solve: xdx + y dy + xdy - ydx = 0

    Solve: ydx-(x+2y^2)dy=0 .

    Solve: ydx-(x+2y^2)dy=0 .

    Let y(x) be a solution of the differential equation (1+e^(x))y'+ye^(x)=1 . If y(0)=2 , then which of the following statements is (are) true?

    Home
    Profile