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

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

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

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

The differential equation of the family of curves y=e^(2x)(acosx+bsinx) , where a and b are arbitrary constants, is given by

The differential equation of the family of curves y=e^x(Acosx+Bsinx), where A and B are arbitrary constants is

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

Find the differential equation representing the family of curves y= ae^(bx+5) where a and b are arbitrary constants.

Find the differential equation of the family of circles x^(2) + y^(2) = 2ay , where a is a parameter .

Find the differential equation of the family of circles x^(2) + y^(2) = 2ax , where a is a parameter .

Form the differential equation representing the family of curves y = mx where, m is arbitrary constant.

Differential equation of the family of curves v=A/r+B , where A and B are arbitrary constants, is

Form the differential equation representing the family of curves y = a sin ( x + b) , where a, b are arbitrary constants.

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The solution to the differential equation ylogy+x y^(prime)=0, where ...

    Text Solution

    |

  2. The form of the differential equation of the central conics a x^2+b...

    Text Solution

    |

  3. The differential equation for the family of curve x^2+y^2-2a y=0, whe...

    Text Solution

    |

  4. If dy/dx=(e^y-x)^(-1), where y(0)=0 , then y is expressed explic...

    Text Solution

    |

  5. If y=x/(log|cx|) (where c is an arbitrary constant) is the genera...

    Text Solution

    |

  6. Differential equation of the family of circles touching the line y=...

    Text Solution

    |

  7. The differential equation of all parabolas whose axis are parallel ...

    Text Solution

    |

  8. A differential equation associated to the primitive y=a+b e^(5x)+c...

    Text Solution

    |

  9. The order and degree of the differential equation of all tangent li...

    Text Solution

    |

  10. A solution of the differential equation, ((dy) /( dx))^2- x ( dy ) /( ...

    Text Solution

    |

  11. A curve y=f(x) passes through the origin. Through any point (x , y) on...

    Text Solution

    |

  12. A spherical rain drop evaporates at a rate proportional to its surf...

    Text Solution

    |

  13. If length of tangent at any point on the curve y=f(x) intercepted be...

    Text Solution

    |

  14. For the primitive integral equation y dx+y^2dy=xdy ; x in R ,y >0,y(1...

    Text Solution

    |

  15. The solution of the primitive integral equation (x^2+y^2)dy=x ydx is ...

    Text Solution

    |

  16. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2) eq...

    Text Solution

    |

  17. If y(t) is a solution of (1+t)dy/dt-t y=1 and y(0)=-1 then y(1) ...

    Text Solution

    |

  18. The slope of the tangent at (x , y) to a curve passing through (1,p...

    Text Solution

    |

  19. The differential equation (dy)/(dx)=(sqrt(1-y^2))/y determines a f...

    Text Solution

    |

  20. Spherical rain drop evaporates at a rate proportional to its surface...

    Text Solution

    |