Home
Class 12
MATHS
The differential equation of the family ...

The differential equation of the family of curves of `x^(2)+y^(2)-2ay=0` where a is arbitary constant, is

A

`(x^(2)-y^(2)) (dy)/(dx) = 2xy`

B

`2(x^(2) + y^(2)) (dy)/(dx) = xy`

C

`(x^(2) - y^(2))(dy)/(x) = xy`

D

`(x^(2)+y^(2))(dy)/(dx) = 2xy`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - B (Objective Type Questions (One option is correct))|39 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - C (Objective Type Questions) (Multiple than one options are correct)|17 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|26 Videos

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

Similar Questions

Explore conceptually related problems

The differential equation for the family of curve x^2+y^2-2a y=0, where a is an arbitrary constant, is

The differential equation for the family of curve x^2+y^2-2a y=0, where a is an arbitrary constant, is

The differential equation of family of curves x^(2)+y^(2)-2ax=0 , is

The differential equation of family of curves of y^(2)=4a(x+a) is

The differential equation of the family of curves cy ^(2) =2x +c (where c is an arbitrary constant.) is:

Find the differential equation of the family of curves (x+a)^2-2y^2=a^2 , where a is an arbitrary constant.

The differential equation of the family of curves py^(2)=3x-p is (where p is an arbitrary constant) is

The differential eqaution of the family of curve y^(2)=4a(x+a) , is

Form a differential equation of the family of the curves y^(2)=4ax

Find the differential equation of the family of curves y=A e^(2x)+B e^(-2x) , where A and B are arbitrary constants.

AAKASH INSTITUTE ENGLISH-DIFFERENTIAL EQUATIONS-Assignment (Section - A) Competition Level Questions
  1. The number of solutions of (dy)/(dx)=(y+1)/(x-1),"Then y(1)=2 is"

    Text Solution

    |

  2. The differential equation y(dy)/(dx)+x=C represents

    Text Solution

    |

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

    Text Solution

    |

  4. The differential equation of the family of curves of x^(2)+y^(2)-2ay=0...

    Text Solution

    |

  5. The general solution of (dy)/(dx)=2xe^(x^(2)-y) is

    Text Solution

    |

  6. The curve in which the slope of the tangent at any point equal the rat...

    Text Solution

    |

  7. The solution of equation (2y-1)dx-(2x+3)dy=0 is

    Text Solution

    |

  8. Let f(x) = secx*f'(x), f(0) = 1, then f(pi/6) is equal to

    Text Solution

    |

  9. The integrating factor of (1+y^(2)) dx = (tan^(-1)y-x) dy is -

    Text Solution

    |

  10. The order & the degree of the differential equation whose general ...

    Text Solution

    |

  11. The solution of the differential equation dy/dx=cos(x-y) is

    Text Solution

    |

  12. (dy)/(dx) = (xy+y)/(xy+x), then the solution of differential equation ...

    Text Solution

    |

  13. The differential equation ydy+xdx = dx represents

    Text Solution

    |

  14. The integrating factor of cos^(2) x(dy)/(dx) +y = tan x is

    Text Solution

    |

  15. The integrating factor of (dy)+2y = xe^(4x) is

    Text Solution

    |

  16. The general solution of differential equation (dy)/(dx)=e^((x^(2))/(2)...

    Text Solution

    |

  17. Family y=Ax + A^3 of curves will correspond to a differential equatio...

    Text Solution

    |

  18. The solution of differential equation cos x sin y dx+sin x cos dy=0

    Text Solution

    |

  19. (dy)/(dx) = (1 + y^2)/(1+x^2)

    Text Solution

    |

  20. The solution of differential equation ydx + (x+xy)dy = 0 is

    Text Solution

    |